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

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

31

## The dot product of u= (u1, u2) and v= (v1, v2) is u*v+_____________________.

### U1*v1+u2*v2

32

## If theta is the angle between two nonzero vectors u and v, then cos theta=

### U*V/IIuII*IIvII

33

## The vectors u and v are __________ when u*v=0

### Orthogonal

34

## When finding the angle between two vectors, _____ your vectors first to make sure your angle makes sense and the calculator didn't mess it up because of the inherent restriction

### Draw

35

## How do you find the magnitude of u (8,15)

### Use Pythagorean theorem or distance formula

36

## To find the interior angles of the triangle with the given vertices, be careful and remember that you can't use the same ________ sometimes

### Vector

37

## Vectors have direction and magnitude (_______)

### Length

38

## When finding tensions, make sure you know if they are __________ or not

### Equal

39

## When asked to find the direction of the resultant vector, use __________

### Tan(theta)=b/a

40

## 3600sin^x+3600cos^2x=

### 3600(1)

41

## The Magnitude is a _____

### Number

42