How can we help?

You can also find more resources in our Help Center.

Study sets matching "vectors math"

Study sets
Classes
Users

Study sets matching "vectors math"

8 terms
math - vectors
vector
adding vectors
subtracting vectors
scalar multiplication
quantity with size and direction, run and rise
add numbers in corresponding components
subtract numbers in corresponding components
multiplying a vector times a number
vector
quantity with size and direction, run and rise
adding vectors
add numbers in corresponding components
22 terms
Math Vectors
(U.v)/v^2 (v)
U- proj. v
Cos= a.b/mag a X mag b
Tan=b/a
Projection of u onto v
Find w2
Angle between 2 vectors
Direction angle of vectors
(U.v)/v^2 (v)
Projection of u onto v
U- proj. v
Find w2
26 terms
MATH vectors
Parallel if
Heading/bearing
Air/ground Speed
Course
vectorB=KvecrorA
Angle away from north (color 1)
magnitude,length
The resultant, final vector
Parallel if
vectorB=KvecrorA
Heading/bearing
Angle away from north (color 1)
11 terms
Maths Vocabulary Practice - Vectors
Vector
speed
Scalar
Position Vector
quantity characterized by magnitude and direction
the rate of change of position with respect to time
A constant value, a quantity that only has magnitude
A vector that starts from origin in space
Vector
quantity characterized by magnitude and direction
speed
the rate of change of position with respect to time
13 terms
Vectors - maths
What is a vector quantity?
What is displacement?
What do the components of a vector des…
How can you find the resultant of a ve…
Magnitude and direction
Shortest distance from one point to another
Journey from start to end
Pythagoras theorem
What is a vector quantity?
Magnitude and direction
What is displacement?
Shortest distance from one point to another
11 terms
Vector Math
Cosine Law
Sine Law
Magnitude
Component x
A² = Au² + Av² - 2AuAvcosθ
(A/sinθ) = (Au/sinβ) = (Av/sinα)
|F| = √Fx² + Fy²
Fx = F cosθ
Cosine Law
A² = Au² + Av² - 2AuAvcosθ
Sine Law
(A/sinθ) = (Au/sinβ) = (Av/sinα)
22 terms
Math Quiz - Vectors
i
j
(q₁-p₁, q₂-p₂)
√(q₁-p₁)²+(q₂-p₂)²
Represents the horizontal value of a vector in an equation.
Represents the vertical value of a vector in an equation.
Component Form of a Vector with initial Point P = (p₁, p₂) an…
Magnitude of a Vector with initial Point P = (p₁, p₂) and ter…
i
Represents the horizontal value of a vector in an equation.
j
Represents the vertical value of a vector in an equation.
8 terms
Maths: Trigonometry and Vectors
Pythagoras' Theorem
Bearings
Trigonometry Triangles
Sine Rule
a^2 + b^2 = c^2... c = hypotenuse (longest side)... 3-D Pythagoras…
Always calculate angle clockwise from north and bearings are…
Use for triangles that are right angled. Remember by - SOH, C…
For non right angled triangles.... To find a side (given 2 angle…
Pythagoras' Theorem
a^2 + b^2 = c^2... c = hypotenuse (longest side)... 3-D Pythagoras…
Bearings
Always calculate angle clockwise from north and bearings are…
22 terms
Math and Vector Physics Vocabulary
HYPOTENUSE
PYTHAGOREAN THEOREM (KNOW FORMULA)
NUMERATOR
DENOMINATOR
the longest side of a right triangle, opposite the right angle
In a right angled triangle the square of the long side is equ…
the number above the line in a common fraction
the number below the line in a common fraction
HYPOTENUSE
the longest side of a right triangle, opposite the right angle
PYTHAGOREAN THEOREM (KNOW FORMULA)
In a right angled triangle the square of the long side is equ…
21 terms
IB Math: Vectors
what does this mean ||?
how do you find the magnitude of one v…
what does the position vector of B rel…
what does "find the position vector of…
find the magnitude
put it under the square root and square all the individual nu…
vector AB
NM
what does this mean ||?
find the magnitude
how do you find the magnitude of one v…
put it under the square root and square all the individual nu…
13 terms
Math Terms (vectors)
vector
direction
scalar
initial point of a vector
has both direction and magnitude
angle the vector has with a horizontal line
vector with no direction (only magnitude)
starting point
vector
has both direction and magnitude
direction
angle the vector has with a horizontal line
12 terms
Vectors & Math Review
To describe motion in 2 or 3 dimension…
vector quantity
scalar quantity
sin ø = cos ¢ =
vectors
has both a magnitude (how much) and a direction
does not involve a direction
opposite÷hypotenuse
To describe motion in 2 or 3 dimension…
vectors
vector quantity
has both a magnitude (how much) and a direction
14 terms
Math Vectors Flashcards
Equivalent vectors have
Magnitude:
Symbol for magnitude
Component form of a vector
the same magnitude and direction
Distance
||v||
(V1, V2)
Equivalent vectors have
the same magnitude and direction
Magnitude:
Distance
10 terms
Further Maths Vectors
a x b = ?
Area of Triangle OAB?
Area of Triangle ABC?
Area of parallelogram ABCD?
|a||b|sinθ n̂
0.5|axb|
0.5|(b-a) x (c-a)|
|AB X AD|
a x b = ?
|a||b|sinθ n̂
Area of Triangle OAB?
0.5|axb|
17 terms
Math Terms Vectors
Sum of Complex Numbers
difference of complex numbers
polar form
r
r₁r₂[cos(θ₁+θ₂)+isin(θ₁+θ₂)]
r₁/r₂[cos(θ₁-θ₂)+isin(θ₁-θ₂)] z≠0
z=r(cosθ+isinθ)
√a²+b²
Sum of Complex Numbers
r₁r₂[cos(θ₁+θ₂)+isin(θ₁+θ₂)]
difference of complex numbers
r₁/r₂[cos(θ₁-θ₂)+isin(θ₁-θ₂)] z≠0
9 terms
Vectors Math Exam
Vector
Scalar quantity
Magnitude of a vector
equal
a quantity that has both magnitude and direction
has magnitude only ex: speed, distance, temperature
the measure of the length (positive real number)
two vectors are ____ if their magnitudes and directions are t…
Vector
a quantity that has both magnitude and direction
Scalar quantity
has magnitude only ex: speed, distance, temperature
Vectors Math Test
Air Speed
Angle Between Vectors
Bearing
Components
The velocity of the aircraft
Use the dot product to find this
Measured with compass heading; ... A horizontal direction indica…
Parts
Air Speed
The velocity of the aircraft
Angle Between Vectors
Use the dot product to find this
16 terms
Math, graphs, and vectors
Fundamental SI units
W
w
m
Meters, amperes, seconds, and kilogram
Work(energy) or watts
Weight
Mass or meters
Fundamental SI units
Meters, amperes, seconds, and kilogram
W
Work(energy) or watts
9 terms
Math Vectors Quiz
Component form of AB
Magnitude
Unit vector with the same direction as…
Finding the direction angle
x₁-x₂, y₁-y₂
√(x₁-x₂)² + (y₁-y₂)²
v÷|v|... Divide vector by the magnitude
1. Create triangle in right quadrant ... 2. Solve for x
Component form of AB
x₁-x₂, y₁-y₂
Magnitude
√(x₁-x₂)² + (y₁-y₂)²
9 terms
Math quiz 1- vectors
Relationships between vectors... - a dire…
Scalar multiplication
Vectors in rect. Coordinates
Unit vector
It has direction and magnitude... Magnitude- how long ... Direction…
If k is a real number and v is a vector kv is called a scalar…
Ai(x axis)+bj (y axis)... If initial point is 0,0 then it's call…
The vector v/magnitude of v is the unit vector that has the s…
Relationships between vectors... - a dire…
It has direction and magnitude... Magnitude- how long ... Direction…
Scalar multiplication
If k is a real number and v is a vector kv is called a scalar…
13 terms
Math Vocab Polar and Vectors
Terminal
Orthogonal
Unit Vector
Component Form
Point at the end of a vector
Two vectors whose dot product equals zero
Have a length of one
Form of a vector that is uniquely represented by the coordina…
Terminal
Point at the end of a vector
Orthogonal
Two vectors whose dot product equals zero
13 terms
Math Vocab Polar and Vectors
Terminal
Orthogonal
Unit Vector
Component Form
Point at the end of a vector
Two vectors whose dot product equals zero
Have a length of one
A vector that is uniquely represented by the coordinates of i…
Terminal
Point at the end of a vector
Orthogonal
Two vectors whose dot product equals zero
11 terms
Maths Vocabulary Practice - Vectors
Vector
speed
Scalar
Position Vector
quantity characterized by magnitude and direction
the rate of change of position with respect to time
A constant value, a quantity that only has magnitude
A vector that starts from origin in space
Vector
quantity characterized by magnitude and direction
speed
the rate of change of position with respect to time
11 terms
Vectors Math Formulas
Dot Product
Component
Projection
Cross Product
|a||b|cos€
|a|cos€
(comp bA) b/|b|
|a||b|sin€n
Dot Product
|a||b|cos€
Component
|a|cos€
12 terms
Math notes - Vectors
Vector
Terminal Point
Vertical Component
Initial Point
A quantity that has both magnitude and direction.
The ending point of a vector
The vertical change from the initial point to the terminal po…
Starting point of a vector
Vector
A quantity that has both magnitude and direction.
Terminal Point
The ending point of a vector
14 terms
BKB Math Vectors
Component form of a vector is
To find component form, you need to re…
To get 2 vectors into one, you...
To find the magnitude you....
(V1, V2)
Terminal - Initial
add them together
√(〖V1〗^2+〖V2〗^2 )
Component form of a vector is
(V1, V2)
To find component form, you need to re…
Terminal - Initial
11 terms
Math Volumes and Vectors
LA of Prism
V of prism
LA of regular pyramid
V of regular pyramid
Ph
Bh
1/2(pl)
1/3 (bh)
LA of Prism
Ph
V of prism
Bh
Math Formulas (Vectors)
To find the component form of a vector…
To find the magnitude
To find the direction angle
Orthogonal means
Terminal-Initial
Take the square root of <x^2+y^2>
SET CALC TO DEGREES... Take the inverse tangent of (y/x)
Two Perpendicular Vectors... Occurs when the dot product of two…
To find the component form of a vector…
Terminal-Initial
To find the magnitude
Take the square root of <x^2+y^2>
34 terms
Math 53: Vector Calculus
conservative vector field definition
line integral over a scalar
line integral over a vector
fundamental theorem of calculus for li…
A vector field F is called conservative if it is the gradient…
∫f(x,y)ds over c =∫f(x(t),y(t)) √((dx/dt)²+(dy/dt)²)dt over a…
∫vec(F)•dr over c = ∫F(r(t))•r'(t)dt over a<t<b.
Let c be a smooth curve given by the vector function r(t), a<…
conservative vector field definition
A vector field F is called conservative if it is the gradient…
line integral over a scalar
∫f(x,y)ds over c =∫f(x(t),y(t)) √((dx/dt)²+(dy/dt)²)dt over a…
11 terms
Math vector to-knows
Another way to calculate dot product u…
Is dot product commutative
When w . v = 0
v X w
|w| * |v| * cosθ
yes
Orthogonal, w⊥v
det of that matrix
Another way to calculate dot product u…
|w| * |v| * cosθ
Is dot product commutative
yes
8 terms
Math Vocab words vector
vector:
Initial point:
Terminal point:
the set of all directed line segments…
can used to represent a quantity that involves both magnitude…
point you start at
point you end at
vector
vector:
can used to represent a quantity that involves both magnitude…
Initial point:
point you start at
20 terms
Math Vector Vocab
vector
magnitude
direction
component form
an ordered pair of real numbers that have direction and length
the length of the arrow v=√(a)²+(b)² or v=√(x₂-x₁)²+(y₂-y₁)²
the direction in which the arrow is pointing
<a,b> to find: <x₂-x₁,y₂-x₁>
vector
an ordered pair of real numbers that have direction and length
magnitude
the length of the arrow v=√(a)²+(b)² or v=√(x₂-x₁)²+(y₂-y₁)²
11 terms
Math 32a-Vector Calculus
Derivative of vector valued function
Limits and vector valued functions
Vector valued functions, derivative ru…
Proofs of derivative rules?
r'(t)=(x'(t),y'(t), z'(t))
lim h->0 (r(t+h)-r(t))/h <--if this exists, then r'(h) exists
sum rule: derivative of each function, add ; constant rule: p…
split r(t) into components (x(t), y(t) ,z(t)) distribute scal…
Derivative of vector valued function
r'(t)=(x'(t),y'(t), z'(t))
Limits and vector valued functions
lim h->0 (r(t+h)-r(t))/h <--if this exists, then r'(h) exists
21 terms
Math 54 Vector Vocab
U * U >0
||U||
||cV|| = ? (what property)
Magnitude of 1
True if U is not 0
sqrt( sigma(v1^2...vn^2))
|c| * ||V||
unit vector
U * U >0
True if U is not 0
||U||
sqrt( sigma(v1^2...vn^2))
8 terms
Math vector equations
Magnitude of a vector
Addition of vectors
Ai+bj
How to make it a unit vector
Square root of v1 squared plus v2 squared
Add first ones, then add second ones
Can be written in component form as <I,j>
Divide by the magnitude of the vector
Magnitude of a vector
Square root of v1 squared plus v2 squared
Addition of vectors
Add first ones, then add second ones
10 terms
vector math terms
resultant
opposite vectors
parallel vector
component
new vector after combining other vectors
sam magnitude and opposite directions
if same direction or opposite direction and if θ= 0 or π
two or more vector whose sum is a given vector
resultant
new vector after combining other vectors
opposite vectors
sam magnitude and opposite directions
10 terms
Further Maths Vectors
a x b = ?
Area of Triangle OAB?
Area of Triangle ABC?
Area of parallelogram ABCD?
|a||b|sinθ n̂
0.5|axb|
0.5|(b-a) x (c-a)|
|AB X AD|
a x b = ?
|a||b|sinθ n̂
Area of Triangle OAB?
0.5|axb|
8 terms
Common Vector Math
Formula for Length(Magnitude) of a Vec…
Formula for Distance between two vecto…
Formula for Normalizing a vector?
Common use of Dot Product in Games?
sqrt(x^2 + y^2 + z^2)
First -Subtract Vectors (x1,y2,z2)-(x2,y2,z2) = NV (NewVector…
divide each component(x,y,z) by the vector's length.
Finding if an object is in front of or behind another object.…
Formula for Length(Magnitude) of a Vec…
sqrt(x^2 + y^2 + z^2)
Formula for Distance between two vecto…
First -Subtract Vectors (x1,y2,z2)-(x2,y2,z2) = NV (NewVector…
15 terms
Math parametric and vector test
Component form from two points
->AB
Find magnitude
Unit vector
<X2-X1, y2-Y1>
Component form
sqrt(a^2+b^2)
Vector/magnitude
Component form from two points
<X2-X1, y2-Y1>
->AB
Component form
29 terms
Cfe Advanced Higher Maths Vectors
Position Vector
Parallel Vectors
Magnitude
Unit Vector
P = (a, b, c) O->P = (a)... (b)... (c)
Same direction but magnitude scalar multiples of each other
P = (a) |P|= (a^2 + b^2 + c^2)^1/2... (b)... (c)
Vector with magnitude 1
Position Vector
P = (a, b, c) O->P = (a)... (b)... (c)
Parallel Vectors
Same direction but magnitude scalar multiples of each other
19 terms
SAT Physics II: Math & vectors review
scientific notation
sine
cosine
tangent
a×10ⁿ
opposite/hypotenuse, y/c
adjacent/hypotenuse, x/c
opposite/adjacent, y/c
scientific notation
a×10ⁿ
sine
opposite/hypotenuse, y/c
20 terms
Math Ch. 8 (Polars, Vectors, etc.)
cscθ
tanθ
secθ
2 ... r =
1 y... − = −... sinθ r
sinθ y... − = −... cosθ x
r 1... − = −... x cosθ
2 2... x + y
cscθ
1 y... − = −... sinθ r
tanθ
sinθ y... − = −... cosθ x
14 terms
Equilibrium and Vector Math Terms (Physics)
Force
Newton
1 kg m/s^2
Net Force
push or pull on an object
the unit of force in the metric system
What does 1 Newton equal?
sum of all forces
Force
push or pull on an object
Newton
the unit of force in the metric system
10 terms
Math 152: Vector Space Axioms
Additive Closure (AC)
Scalar Closure (SC)
Commutativity (C)
Additive Associativity (AA)
if u, v ∈ V, then u + v ∈ V
If α ∈ ℂ and u ∈ V, then αu ∈ V.
if u, v ∈ V, then u + v = v + u
if u, v, w ∈ V, then u + (v + w) = (u + v) + w
Additive Closure (AC)
if u, v ∈ V, then u + v ∈ V
Scalar Closure (SC)
If α ∈ ℂ and u ∈ V, then αu ∈ V.
28 terms
Combo with "Math Vectors" and 1 other
Equivalent vectors have the same
Magnitude is also called
A symbol for Magnitude is
Component form of a vector is
magnitude and direction
distance
llVll
(V1, V2)
Equivalent vectors have the same
magnitude and direction
Magnitude is also called
distance
14 terms
Maths sine cosine rules and vectors
Area of a triangle normal
Trigonometry area of a triangle
The sine rule for working out missing…
Sine rule for working out missing angles
(Base x height)➗2
1/2absinC
a over sineA = b over sineB = c over sineC
SinA over a = SinB over b = SinC over c
Area of a triangle normal
(Base x height)➗2
Trigonometry area of a triangle
1/2absinC
11 terms
Vector Vocabulary Math Unit 7
vector
initial point
terminal point
equivalent vectors
quantity with specific magnitude and direction (these require…
starting point of a vector
end point of a vector (has the arrowhead)
same magnitude and direction
vector
quantity with specific magnitude and direction (these require…
initial point
starting point of a vector
14 terms
SL1 Math Chapter 12 IB (vectors)
a number indicating magnitude
a line with properties of magnitude AN…
|a| absolute value of a length of a ve…
<u₁ , u₂>
scalar quantity
vector
magnitude
component form
a number indicating magnitude
scalar quantity
a line with properties of magnitude AN…
vector
18 terms
Integrated Math 2 Unit 2 Vectors
Vectors have what?
Magnitude of a vector?
Scalar multiplication of a vector
Represent vectors using rectangular co…
Magnitude and direction
Is it's length. Formula v = √(a^2+b^2)
Multiplying a vector by a scalar changes the magnitude of the…
V=(x2-x1)I+(y2-y1)j
Vectors have what?
Magnitude and direction
Magnitude of a vector?
Is it's length. Formula v = √(a^2+b^2)
32 terms
Physics and Math 1.2 Vectors and Scalars
Vectors
Scalars
Vector addition
Component vectors equation
are physical quantities that have both magnitude and directio…
are quantities without direction. Scalar quantities may be th…
may be accomplished using the tip-to-tail method or by breaki…
SOH CAH TOA.... In other words: X = V cosθ... Y = V sinθ... Where V i…
Vectors
are physical quantities that have both magnitude and directio…
Scalars
are quantities without direction. Scalar quantities may be th…
1 of 10