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Level 435

Vectors


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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