PreCalc Chapter 6 Test Part 2 Flashcards
Vectors are not ______ because they do not go on forever. They have a _____, where the arrow is, and a _______
Rays, head, tail
What are the two methods of vector addition
Head to tail method (keep parallel and same length)
Parallelogram Method
When you add two vectors, you get a ______ vector
Resultant
Component form uses _______ white standard unit vector form uses __ and __
Parentheses
i’s and js
(Horizontal, vertical)
The magnitude of a vector is always _______ and is denoted using two “lines” on each side
Positive
Use ________ to find direction of vectors. They can be written using _____
SOHCAHTOA, bearing
When finding the horizontal and vertical distances of a vector, start at the ____ and end at the ____
Tail, head
What is scalar multiplication?
Multiplying a scalar by a vector
If a question asks for a direction, give the angle of ____
Rotation
In the parallelogram method, you put the two tails _____
Together
A vector’s unit vector comes from the _______ ___________
Unit circle
A ______ _______ _______ can be used to represent a quantity that involves both magnitude and direction
Directed line segment
The directed line segment PQ has _______ point P and ______ point Q
Initial, terminal (head, tail)
The ______ of the directed line segment PG is donated by IIPQII
Magnitude
The set of all directed line segments that are equivalent to a given directed line segment PQ is a _______ v in the plane
Vector
In order to show that two vectors are equivalent, you must show that they have the same ________ and the same _________
Magnitude, direction
The directed line segment whose initial point is the origin is said to be in __________ _____________
Standard position
A vector that has a magnitude of 1 is called a ______ ________
Unit vector
The two basic vector operations are scalar __________ and vector _________
Multiplication, addition
The vector u + v is called the _______ of vector addition
Resultant
The vector sum v1i +v2j is called a ________ __________ of the vectors I and j, and the scalars v1 and v2 are called the ______ and _______ components of v, respectively
Standard unit vector, horizontal, vertical
In a vector [a,b], the tangent of the vector is found by taking tan(theta)=______/______
b,a
When finding the angle of rotation, start at the ___ axis on the right side and rotate counterclockwise
X
When adding vectors, you may have to use _____ ____ ________
System of equations