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vector

the direction or course followed by an airplane, missile, or the like

scalar

A term used in matrix multiplication to describe a real number as opposed to a matrix

Resultant

Sum of two vectors

linear

A relationship that graphs as a straight line. This means y is changing at a constant enterval.

Magnitude

The number of degrees a regular polygon can be rotated to map onto itself.

direction

a positive ________ or association means that, in general, as one variable increases, so does the other; when increases in one variable generally correspond to decreases in the other, the association is negative

Components

Vectors have two

Resolution

Process of determining components

Projectiles

Object shot into the air, have curved path

Free fall

To fall feely

g

-9.81 m/sec2

d

1/2gt2

vertical

The direction of something that runs north to south or south to north.

Horizontal

Straight line across from side to side (length)

Trajectory

Path of a projectile

Range

The difference between the greatest number and the least number in a set of data.

Satellite

Circles the earth

Tangent

Opposite/adjacent

sine

Opposite/hypotenuse

Cosine

Adjacent/hypotenuse

Pythagorean Theorem

in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs

Cosine law

c2 = a2 + b2 - 2abcosine angle

Half a parabola

Shape of trajectory

Any order

How vectors can be added

Tail to head

How to add vectors

Hail to Ted

Oops, I mean "Tail to Head"

c

Speed of light

Resolving

Breaking a single vector into two components

Subtract a vector

Add the opposite vector

Triangle method

A way to add vectors

From "Airplane"

Where is your vector, Victor?

Right Triangle

A triangle with one right angle.

Parallelogram Method

Visual method of adding vectors. The resultant is the diagonal line across the parallelogram.

Head to Tail Method

When adding vectors, they should be added arrow head of one to the tail of the next. Scale and direction should be maintained.

Resultant

The vector that is created when vectors are added or subtracted...the resulting vector

unit vector notation

describes vectors by breaking them into there x, y and z components and are denoted by "i-hat", "j-hat" and "k-hat"

cosine function

Used in vector resolution to find the adjacent component of a vector

sine function

Used in vector resolution to find the opposite component of a vector

tangent function

Used in combining component vectors to find the angle (direction) of the resultant vector

vector resolution

the process of breaking down a single vector into component vectors that are at right angle to each other.

component addition

the process of combining similar axial components using simple addition or subtraction. The components must be parallel.

15 km/h

A boat crossing a river can go 12 km/h east, the river's current is 9 km/h south. A -> B is 12 km/h. What is the speed does the boat cross the river?

180 degrees

sum of degrees in any triangle

Vectors have

magnitude and direction

Vector addition is

commutative and Associative

distributive over addition

Multiplication by a scalar is