#### Study sets matching "vectors math"

#### Study sets matching "vectors math"

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

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

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

vector

standard unit vectors

unit vector in the direction of that v…

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>

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

with displacment to find m<ABO

whith displacment and north

if it says the camper walks on a courc…

magnitute of tension

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

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) us…

whith displacment and north

DRAW NORTH EVERYTIME YOU STOP

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…

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

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…

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

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

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

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

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…