# Study sets matching "vectors math"

Study sets

Classes

Users

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

standard position

magnitude

directional angle

a quantity with a magnitude ... and direction... looks like an arro…

The origin needs to be the tail and the head needs to be the…

length

The directional angle of the vector is the angle with the init…

Vector

a quantity with a magnitude ... and direction... looks like an arro…

standard position

The origin needs to be the tail and the head needs to be the…

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

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…

Vector Valued Quantities

What coordinate system does DirectX use?

What is the difference between a left a…

How do you add vectors?

A quantity that possesses both magnitude and direction.

A left hand coordinate system

The Z access. In left handed coordinate system the far plane i…

Component wise. (ux + vx, uy+ vy, uz + vz)

Vector Valued Quantities

A quantity that possesses both magnitude and direction.

What coordinate system does DirectX use?

A left hand coordinate system

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

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

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>

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

what does this mean ||?

how do you find the magnitude of one ve…

what does the position vector of B rela…

what does "find the position vector of…

find the magnitude

put it under the square root and square all the individual num…

vector AB

NM

what does this mean ||?

find the magnitude

how do you find the magnitude of one ve…

put it under the square root and square all the individual num…

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)

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

To describe motion in 2 or 3 dimensions…

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 dimensions…

vectors

vector quantity

has both a magnitude (how much) and a direction

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

Component form of a vector is

To find component form, you need to rem…

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 rem…

Terminal - Initial

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 it…

Terminal

Point at the end of a vector

Orthogonal

Two vectors whose dot product equals zero