PreCalc Chapter 6 Test Part 2 Flashcards Preview

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Flashcards in PreCalc Chapter 6 Test Part 2 Deck (42)
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1

Vectors are not ______ because they do not go on forever. They have a _____, where the arrow is, and a _______

Rays, head, tail

2

What are the two methods of vector addition

Head to tail method (keep parallel and same length)
Parallelogram Method

3

When you add two vectors, you get a ______ vector

Resultant

4

Component form uses _______ white standard unit vector form uses __ and __

Parentheses
i's and js
(Horizontal, vertical)

5

The magnitude of a vector is always _______ and is denoted using two "lines" on each side

Positive

6

Use ________ to find direction of vectors. They can be written using _____

SOHCAHTOA, bearing

7

When finding the horizontal and vertical distances of a vector, start at the ____ and end at the ____

Tail, head

8

What is scalar multiplication?

Multiplying a scalar by a vector

9

If a question asks for a direction, give the angle of ____

Rotation

10

In the parallelogram method, you put the two tails _____

Together

11

A vector's unit vector comes from the _______ ___________

Unit circle

12

A ______ _______ _______ can be used to represent a quantity that involves both magnitude and direction

Directed line segment

13

The directed line segment PQ has _______ point P and ______ point Q

Initial, terminal (head, tail)

14

The ______ of the directed line segment PG is donated by IIPQII

Magnitude

15

The set of all directed line segments that are equivalent to a given directed line segment PQ is a _______ v in the plane

Vector

16

In order to show that two vectors are equivalent, you must show that they have the same ________ and the same _________

Magnitude, direction

17

The directed line segment whose initial point is the origin is said to be in __________ _____________

Standard position

18

A vector that has a magnitude of 1 is called a ______ ________

Unit vector

19

The two basic vector operations are scalar __________ and vector _________

Multiplication, addition

20

The vector u + v is called the _______ of vector addition

Resultant

21

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

22

In a vector [a,b], the tangent of the vector is found by taking tan(theta)=______/______

b,a

23

When finding the angle of rotation, start at the ___ axis on the right side and rotate counterclockwise

X

24

When adding vectors, you may have to use _____ ____ ________

System of equations

25

The dot product yields a (scalar/number)

Scalar

26

The dot product is u*v=

U1*V1+U2*V2

27

The five vector relationships include ....

Opposite, obtuse angle, 90 angle (orthogonal), acute angle, same direction

28

If two vectors are orthogonal, the dot product u*v=__

0

29

Work is magnitude of force * _____________ the object moves
It is a directly proportional equation

Direction

30

The ________ ________ of two vectors yields a scalar, rather than a vector

Dot product