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Study sets matching "vectors"

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Study sets matching "vectors"

16 terms
Vectors
vector
magnitude
scalar
Pythagorean Theorem
A measurement with magnitude and direction.... Represented with…
the amount of a measurement
A measurement that just has amount or magnitude... example: mass…
method used to recombine component sums or vectors that are p…
vector
A measurement with magnitude and direction.... Represented with…
magnitude
the amount of a measurement
52 terms
Vectors
Distance between P₁ and P₂
What is distance between P₁(2,1,5) and…
Standard Equation of a Sphere: radius-…
Find center and radius of sphere, x² +…
|P₁P₂|=√((x₂-x₁)²+(y₂-y₁)²+(z₂-z₁)²)
√45
(x-x₀)²+(y-y₀)²+(z-z₀)²=a²
center: (-3/2,0,2), radius √(21)/2
Distance between P₁ and P₂
|P₁P₂|=√((x₂-x₁)²+(y₂-y₁)²+(z₂-z₁)²)
What is distance between P₁(2,1,5) and…
√45
11 terms
Vectors
Vector quantities
Vector
Resultant of two vectors
Resolving a vector
Have both magnitude and direction, such as Displacement, Velo…
represented by an arrow whose length represents the magnitude…
Adding the vectors tail-head-tail-head; vector diagram drawn…
Replacing the vector with two components that add to form the…
Vector quantities
Have both magnitude and direction, such as Displacement, Velo…
Vector
represented by an arrow whose length represents the magnitude…
73 terms
Vectors
|P₁P₂|=√((x₂-x₁)²+(y₂-y₁)²+(z₂-z₁)²)
√30
(x-x₀)²+(y-y₀)²+(z-z₀)²=a²
(2,-3,1)
Distance between P₁ and P₂
What is the distance between P(3,1,5) and R(-2,3,6)
Standard Equation of a Sphere with radius-(a) and center- (x₀…
Find the center of sphere, x² +y² +z² +4x -6z +2 = 0
|P₁P₂|=√((x₂-x₁)²+(y₂-y₁)²+(z₂-z₁)²)
Distance between P₁ and P₂
√30
What is the distance between P(3,1,5) and R(-2,3,6)
11 terms
Vectors
Vector quantities
Vector
Resultant of two vectors
Resolving a vector
Have both magnitude and direction, such as Displacement, Velo…
represented by an arrow whose length represents the magnitude…
Adding the vectors tail-head-tail-head; vector diagram drawn…
Replacing the vector with two components that add to form the…
Vector quantities
Have both magnitude and direction, such as Displacement, Velo…
Vector
represented by an arrow whose length represents the magnitude…
14 terms
Vectors
vector
magnitude
scalar
Pythagorean Theorem
A measurement with magnitude and direction.... Represented with…
the amount of a measurement
A measurement that just has amount or magnitude... example: mass…
method used to recombine component sums or vectors that are p…
vector
A measurement with magnitude and direction.... Represented with…
magnitude
the amount of a measurement
16 terms
Vectors
vector
magnitude
scalar
Pythagorean Theorem
A measurement with magnitude and direction.... Represented with…
the amount of a measurement
A measurement that just has amount or magnitude... example: mass…
method used to recombine component sums or vectors that are p…
vector
A measurement with magnitude and direction.... Represented with…
magnitude
the amount of a measurement
10 terms
Vectors
vector
Pythagorean theorem
hypotenuse
right triangles
A quantity that has both size and direction.
a²+b²=c²... a squared plus b squared = c squared, where c is the…
the longest side of a right triangle
Triangles containing one 90 degree angle
vector
A quantity that has both size and direction.
Pythagorean theorem
a²+b²=c²... a squared plus b squared = c squared, where c is the…
9 terms
Vectors
unit vector
direction of a vector
dot product of vectors
magnitude of vector
unit vector
direction of a vector
9 terms
Vectors
1. Three vectors are added following t…
The order in which vectors is added wi…
When adding vector B to vector A geome…
Dora is exploring a cave. She starts a…
...
...
...
...
1. Three vectors are added following t…
...
The order in which vectors is added wi…
...
9 terms
Vectors
Magnitude
Vectors
Emanates
Terminate
Size
quantities that have both a magnitude and a direction
emerges
to end
Magnitude
Size
Vectors
quantities that have both a magnitude and a direction
10 terms
Vectors
b) -2 N
a) 130km... b) 0
58.3 km
The polygon method
Given: F1 = 3 N due East and F2 = 5 N due West, what is the s…
A car travels 65 km due North, then 65 km due South.... a) What…
Given a displacement due North of 50 km and a displacement du…
The graphic method of adding vectors by placing the tail of t…
b) -2 N
Given: F1 = 3 N due East and F2 = 5 N due West, what is the s…
a) 130km... b) 0
A car travels 65 km due North, then 65 km due South.... a) What…
10 terms
Vectors
Centruroides spp. (bark scorpion)
Triatomid spp (kissing bug)
Latrodectus mactans (black widow spider)
Dermatobia spp (bot fly)
Centruroides spp. (bark scorpion)
Triatomid spp (kissing bug)
5 terms
Vectors
Vector
Scalar
Free-fall acceleration
Horizontal Velocity
A physical quantity that... has both magnitude and direction.
A physical quantity that... has only magnitude.
Acceleration due to gravity is called
This will always be constant
Vector
A physical quantity that... has both magnitude and direction.
Scalar
A physical quantity that... has only magnitude.
33 terms
Vectors
Speed
Velocity
mass
Weight
Test1
Test 2
Test 3
...
Speed
Test1
Velocity
Test 2
13 terms
Vectors
graphical representation
algebraic representation
resultant vector
Pythagorean relationship
An arrow or an arrow-tipped line segment is called a ___ of a…
an ___ of a vector is represented by an italicized letter in…
a vector that is the sum of two or more other vectors
This states that the sum of the squares of the two sides of a…
graphical representation
An arrow or an arrow-tipped line segment is called a ___ of a…
algebraic representation
an ___ of a vector is represented by an italicized letter in…
145 terms
Vectors
Arthropods comprise what proportion of…
Economic entomology deals with this ty…
Medical entomology deals with these 2…
Diplopoda is...
More than 3 quarters
Interspecific competition for a common resource
1) direct parasitism, injury, irritations, or annoyance and 2…
A class of the phyla arthropoda which includes millipedes.
Arthropods comprise what proportion of…
More than 3 quarters
Economic entomology deals with this ty…
Interspecific competition for a common resource
10 terms
Vectors
Resultant
Scalar Multiplication
Components
Normal Force
sum of vectors
multiplying a vector by a real number or by a quantity with u…
two perpendicular vectors that add to a given vector
A force exerted by one object on another in a direction perpe…
Resultant
sum of vectors
Scalar Multiplication
multiplying a vector by a real number or by a quantity with u…
10 terms
vectors
vector
initial point
terminal point
magnitude
A quantity that has magnitude and direction
starting point of a vector
ending point of a vector
The length of a vector
vector
A quantity that has magnitude and direction
initial point
starting point of a vector
15 terms
Vectors
Vector quantities
Vector
Resultant of two vectors
Resolving a vector
Have both magnitude and direction, such as Displacement, Velo…
represented by an arrow whose length represents the magnitude…
Adding the vectors tail-head-tail-head; vector diagram drawn…
Replacing the vector with two components that add to form the…
Vector quantities
Have both magnitude and direction, such as Displacement, Velo…
Vector
represented by an arrow whose length represents the magnitude…
20 terms
Vectors
magnitude
direction
components
tail
length of vector
direction its moving
parts of a vector
initial parts
magnitude
length of vector
direction
direction its moving
19 terms
Vectors
how do you notate a vector?
Vector Direction
Vectors
Scalars
->R
the direction of the arrow, given by an angle
quantities that have both magnitude and direction
quantities that have magnitude only
how do you notate a vector?
->R
Vector Direction
the direction of the arrow, given by an angle
9 terms
vectors
component
projectile
resolution
resultant
part of a resultant vector, usually along the x or y axis
An object moving through space and affected only by gravity
finding components of a resultant vector
The net result of a combination of two or more vectors
component
part of a resultant vector, usually along the x or y axis
projectile
An object moving through space and affected only by gravity
18 terms
Vectors
Vector
Scalar
Vector Components
Hypotenuse
A quantity that has both magnitude and direction.
A quantity that has magnitude only.
X and Y coordinates that specify a vector in 2 dimensional sp…
The side in a right triangle that lies opposite from the righ…
Vector
A quantity that has both magnitude and direction.
Scalar
A quantity that has magnitude only.
10 terms
Vectors
vector
scalar
unit vector
equilibriant
a quantity with magnitude and direction... ex: force, accelerati…
a quantity with magnitude (size) only
a vector with a magnitude of 1 [unit] ... expresses direction us…
angle measure
vector
a quantity with magnitude and direction... ex: force, accelerati…
scalar
a quantity with magnitude (size) only
13 terms
Vectors
vector
magnitude
scalar
cosine function
A measurement with magnitude and direction.... Represented with…
the amount of a measurement
A measurement that just has amount or magnitude... example: mass…
Used in vector resolution to find the adjacent component of a…
vector
A measurement with magnitude and direction.... Represented with…
magnitude
the amount of a measurement
117 terms
Vectors
a.b
What does the scalar product do?
Is the scalar product commutative or a…
What does a negative scalar product me…
|a||b|cosθ
Projects one vector onto another and multiplies their magnitu…
Commutative
The vectors point in opposite directions
a.b
|a||b|cosθ
What does the scalar product do?
Projects one vector onto another and multiplies their magnitu…
8 terms
Vectors
vectors
vectors have
in order to draw vector, must have
conversion factor
quantifiable way to describe value and direction. arrows
magnitude and direction
key or conversion factor
represents how length is related to a forces strength. x cm =…
vectors
quantifiable way to describe value and direction. arrows
vectors have
magnitude and direction
16 terms
Vectors
vector
magnitude
scalar
Pythagorean Theorem
A measurement with magnitude and direction.... Represented with…
the amount of a measurement
A measurement that just has amount or magnitude... example: mass…
method used to recombine component sums or vectors that are p…
vector
A measurement with magnitude and direction.... Represented with…
magnitude
the amount of a measurement
17 terms
Vectors
vectors have ?
change in x on a vector is ?
change in y on a vector is ?
standard postion
coordinates
horizontal
vertical
when initial position is at (0, 0)
vectors have ?
coordinates
change in x on a vector is ?
horizontal
9 terms
Vectors
Length or magnitude of a vector
Theorem used to calculate Length / mag…
How do we multiply two vectors
What is a unit vector
‖A‖ = √(Ax² + Ay² + Az²)
Pythagoras' Theorem
Dot Product - also called the scalar product
A Unit Vector has a magnitude of 1. Remember it has a MAGNITU…
Length or magnitude of a vector
‖A‖ = √(Ax² + Ay² + Az²)
Theorem used to calculate Length / mag…
Pythagoras' Theorem
9 terms
Vectors
Adding vectors
Subtracting vectors
Angle between vectors
Dot Product
if 0→ perpindicular
Adding vectors
Subtracting vectors
32 terms
Vectors
Vector
Scalar
Resultant
Linear
Shows magnitude and direction
Shows direction only
Sum of two vectors
Straight-line
Vector
Shows magnitude and direction
Scalar
Shows direction only
16 terms
Vectors
magnitude
displacement
scalar
component form
the size or amount of a quantity, including units of measurem…
a vector quantity representing the change in the position of…
a quantity that can be described completely by its magnitude
the process of describing a vector in terms of two perpendicu…
magnitude
the size or amount of a quantity, including units of measurem…
displacement
a vector quantity representing the change in the position of…
11 terms
vectors
vector
magnitude
standard position
a quantity that has both magnitude and direction
length of the vector
a vector with initial point at the origin
vector
a quantity that has both magnitude and direction
magnitude
length of the vector
20 terms
Vectors
Vectors
North
Vectors can be represented by one of t…
Part of a vector acting alone my the c…
...
0 degrees
Arrowtipped
Component
Vectors
...
North
0 degrees
16 terms
Vectors
vector
vector
added
direction
Force, like velocity and displacement, is a _____ quantity.
A ______ quantity can be represented by an arrow-tipped line…
Vectors can be _______ by placing the tail of one vector at t…
When adding two vectors, neither the length nor the of either…
vector
Force, like velocity and displacement, is a _____ quantity.
vector
A ______ quantity can be represented by an arrow-tipped line…
24 terms
Vectors
sinθ
cosθ
tanθ
θ
=y/r... Adjacent over hypotenuse
=x/r... Opposite over hypotenuse
=y/x... Adjacent over opposite
Theta
sinθ
=y/r... Adjacent over hypotenuse
cosθ
=x/r... Opposite over hypotenuse
13 terms
Vectors
Polar coordinates
Vector
Vector sum
Vector addition
The coordinates of points in a system
Any ordered pair of real numbers
The sum of any two ordered pairs
The operation associated with sum
Polar coordinates
The coordinates of points in a system
Vector
Any ordered pair of real numbers
11 terms
Vectors
vector
scalar
commutative law for addition
tip-to-tail method
a quantity which contains magnitude and direction
a quantity which contains only magnitude
vectors can be added in any order
the arrow of one vector is connected the the end of another v…
vector
a quantity which contains magnitude and direction
scalar
a quantity which contains only magnitude
10 terms
Vectors
magnitude direction
equal
triangle law
Magnitude
A vector quantity has both ________ and ________.
If two vectors have the same magnitude and direction, they ar…
Two vectors are added using the '________ ________'.
What is the modulus, |a|, of a vector?
magnitude direction
A vector quantity has both ________ and ________.
equal
If two vectors have the same magnitude and direction, they ar…
10 terms
Vectors
Vector
Developing Competence
Managing Emotions
Moving through Autonomy toward Interde…
A comprehensive picture of the psychosocial development durin…
Physical, Intellectual, Interpersonal
Acting on feelings in appropriate ways; recognizing, acceptin…
Emotional and Instrumental Dependence; Recognizing the value…
Vector
A comprehensive picture of the psychosocial development durin…
Developing Competence
Physical, Intellectual, Interpersonal
11 terms
Vectors
Vector quantity
Scalar quantity
Arrow
Resultant displacement
A quantity that has direction and magnitude (i.e. Velocity)
A quantity that are specified only by a number and units; no…
The symbol for a vector
The sum of the vectors (V1 and V2)
Vector quantity
A quantity that has direction and magnitude (i.e. Velocity)
Scalar quantity
A quantity that are specified only by a number and units; no…
12 terms
Vectors
Scalar
Vector
Component
Resultant
Shows magnitude
Shows magnitude and direction
Te x&y dimensions of a resultant
The vector that results from adding two or more vectors toget…
Scalar
Shows magnitude
Vector
Shows magnitude and direction
9 terms
Vectors
Vector
Resultant
Equilibrant
Tip to tail method
Quantity with both magnitude and direction
Single vector that represents the sum of 2 or more vectors
Vector equal in magnitude, but opposite in direction to the r…
Arrow tip of one vector is perpendicular to the tail of other…
Vector
Quantity with both magnitude and direction
Resultant
Single vector that represents the sum of 2 or more vectors
6 terms
VECTORS
ako
cheska
teffi
kaila
maganda sino?
panget sino
mataba sino?
maingay sino?
ako
maganda sino?
cheska
panget sino
9 terms
Vectors
Finding the angle between two vectors
Finding magnitude of a vector
Component method
Magnitude and direction method
Get solution using component method and mag. and dir. method.…
Square each under a square root.
Multiply the two vectors
Multiply the magnitude of both vectors together.... Multiply tha…
Finding the angle between two vectors
Get solution using component method and mag. and dir. method.…
Finding magnitude of a vector
Square each under a square root.
11 terms
Vectors
magnitude
component form
equivalent vectors
standard position
√v1^2 + v2^2
{q1-p1, q2-p2}
same magnitude and direction
initial point at origin
magnitude
√v1^2 + v2^2
component form
{q1-p1, q2-p2}
13 terms
Vectors
#include <vector>
can grow and shrink
vector<int> v;
vector<int> v(N);
What must be at the top of the program to include vectors?
What is different about vectors than arrays?
How do we declare a vector name v with integer elements?
How do we declare a vector named v with N amount of integer e…
#include <vector>
What must be at the top of the program to include vectors?
can grow and shrink
What is different about vectors than arrays?
11 terms
Vectors
vector in 2D
vector in 3D
vector
standard form
ordered pair: (a, b)
ordered triplet: (a, b, c)
has a magnitude (length of the arrow) and a direction (angle…
arrow from origin to coordinate
vector in 2D
ordered pair: (a, b)
vector in 3D
ordered triplet: (a, b, c)
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