# Study sets matching "vectors math"

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vector

Scalars

displacement

Column vector form

a quantity that has size (magnitude) and direction; i.e. displ…

Quantities determined by magnitude alone; i.e. distance and sp…

the difference between your initial position and your final po…

Use of horizontal and vertical component in a column to descri…

vector

a quantity that has size (magnitude) and direction; i.e. displ…

Scalars

Quantities determined by magnitude alone; i.e. distance and sp…

Position vector

What is a unit vector

How to find a unit vector

I, j

Starting from (0,0)

A vector in the same direction of a magnitude of 1

Divide the vector by the magnitude of the vector

I - unit along x axis. J- unit along y axis

Position vector

Starting from (0,0)

What is a unit vector

A vector in the same direction of a magnitude of 1

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

Dot Product

Angles Between Vectors

dot product properties

Orthogonal

if u=<u1,u2> and v=<v1,v2> than u (dot) v=u1v1+u2v2

between 0 and 180 degrees, cos= u (dot) v/ (magnitude)u (magni…

u(dot)v=v(dot)u... u(dot)u=(magnitude)u(squared)... 0(dot)=0... u(dot)(…

the vectors u and v are if u(dot)v=0

Dot Product

if u=<u1,u2> and v=<v1,v2> than u (dot) v=u1v1+u2v2

Angles Between Vectors

between 0 and 180 degrees, cos= u (dot) v/ (magnitude)u (magni…

What is a vector quantity?

What is displacement?

What do the components of a vector desc…

How can you find the resultant of a vec…

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

Resultant Vector

Component Vector

Magnitude

Direction

The vector sum or "result" of two or more component vectors... -…

Vectors that are being added together... - must be tip to tail*…

Value, represented by size of arrow, measured with ruler

The path that an object is moving or facing, represented by an…

Resultant Vector

The vector sum or "result" of two or more component vectors... -…

Component Vector

Vectors that are being added together... - must be tip to tail*…

When are A B and C collinear?

What are the two equations involving ar…

How do you write a line in vector, para…

how do you find angle between lines

vector AB=k(vector BC)

(magnitude of vector a)(magnitude of vector b)sinx=magnitude o…

vector: <x y z> = <point> + <direction>t... parametric: x=(x poin…

-find direction for each (in vector form or parametric)... -cosx…

When are A B and C collinear?

vector AB=k(vector BC)

What are the two equations involving ar…

(magnitude of vector a)(magnitude of vector b)sinx=magnitude o…

Same Magnitude and Direction

Same Magnitude and Opposite Direction

xi + yj + zk = Given Vector, i, j, and…

Any vector with a magnitude = 1, also w…

Equal Vectors

Negative Vectors

Unit Vector Form

Unit Vectors

Same Magnitude and Direction

Equal Vectors

Same Magnitude and Opposite Direction

Negative Vectors

vector

standard unit vectors

unit vector in the direction of that ve…

adding vectors method 1

geometric quantity with direction and magnitude

magnitude of 1, i = <1,0> j = <0,1>

(1/|u|) * u

tip to tail method

vector

geometric quantity with direction and magnitude

standard unit vectors

magnitude of 1, i = <1,0> j = <0,1>

how to get <AB> from points A and B

Length of vector <AB>

direction of vector <AB> ("unitized")

Standard position of vector?

subtract coordinates, B-A => <x2-x1,y2-y1,z2-z1>

|<AB>| = sqrt(x^2+y^2+z^2)

dir(<AB>) = <AB>/|<AB>| = i.e. <AB>/sqrt(x^2+y^2+z^2)

coming from the origin

how to get <AB> from points A and B

subtract coordinates, B-A => <x2-x1,y2-y1,z2-z1>

Length of vector <AB>

|<AB>| = sqrt(x^2+y^2+z^2)

with displacment to find m<ABO

whith displacment and north

if it says the camper walks on a cource…

magnitute of tension

first subtract theta1 by theta 2 '... 180 - (theta1 - theta2) use…

DRAW NORTH EVERYTIME YOU STOP

it means the line goes down, and it is i160 degrees away from…

is the f parallel

with displacment to find m<ABO

first subtract theta1 by theta 2 '... 180 - (theta1 - theta2) use…

whith displacment and north

DRAW NORTH EVERYTIME YOU STOP

vector

scalar

geometric vector (draw example)

algebraic vector

mathematical quantity that has direction and magnitude (ex. di…

only has magnitude (ex. distance, mass, speed)

not defined by a coordinate system

defined by a coordinate system (R2 and R3)

vector

mathematical quantity that has direction and magnitude (ex. di…

scalar

only has magnitude (ex. distance, mass, speed)

find unit vector with the same direction

find component form given magnitude and…

find direction angle of vector

find angle between vectors

(1/|v|)v

(|v|costheta,|v|sintheta)

tantheta=b/a

cos-1(a*b/|a||b|)

find unit vector with the same direction

(1/|v|)v

find component form given magnitude and…

(|v|costheta,|v|sintheta)

tail of the line segment of a vector

quantity that has both direction and ma…

vectors with the same magnitude and dir…

directional measurement where the angle…

initial point

vector

equivalent vectors

true bearing

tail of the line segment of a vector

initial point

quantity that has both direction and ma…

vector

conjugate

modulus

real axis

imaginary axis

opposite of the imaginary part of a complex number

a complex's numbers length or distance from the origin

aka x-axis

aka y-axis

conjugate

opposite of the imaginary part of a complex number

modulus

a complex's numbers length or distance from the origin

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 th…

Vector

a quantity that has both magnitude and direction

Scalar quantity

has magnitude only ex: speed, distance, temperature

vector

magnitude

scalar

Pythagorean Theorem

A measurement with magnitude and direction.... Represented with a…

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 pe…

vector

A measurement with magnitude and direction.... Represented with a…

magnitude

the amount of a measurement

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 coordinat…

Terminal

Point at the end of a vector

Orthogonal

Two vectors whose dot product equals zero