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
Q

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

A

Rays, head, tail

2
Q

What are the two methods of vector addition

A

Head to tail method (keep parallel and same length)

Parallelogram Method

3
Q

When you add two vectors, you get a ______ vector

A

Resultant

4
Q

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

A

Parentheses
i’s and js
(Horizontal, vertical)

5
Q

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

A

Positive

6
Q

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

A

SOHCAHTOA, bearing

7
Q

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

A

Tail, head

8
Q

What is scalar multiplication?

A

Multiplying a scalar by a vector

9
Q

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

A

Rotation

10
Q

In the parallelogram method, you put the two tails _____

A

Together

11
Q

A vector’s unit vector comes from the _______ ___________

A

Unit circle

12
Q

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

A

Directed line segment

13
Q

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

A

Initial, terminal (head, tail)

14
Q

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

A

Magnitude

15
Q

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

A

Vector

16
Q

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

A

Magnitude, direction

17
Q

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

A

Standard position

18
Q

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

A

Unit vector

19
Q

The two basic vector operations are scalar __________ and vector _________

A

Multiplication, addition

20
Q

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

A

Resultant

21
Q

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

A

Standard unit vector, horizontal, vertical

22
Q

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

A

b,a

23
Q

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

A

X

24
Q

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

A

System of equations

25
Q

The dot product yields a (scalar/number)

A

Scalar

26
Q

The dot product is u*v=

A

U1V1+U2V2

27
Q

The five vector relationships include ….

A

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

28
Q

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

A

0

29
Q

Work is magnitude of force * _____________ the object moves

It is a directly proportional equation

A

Direction

30
Q

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

A

Dot product

31
Q

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

A

U1v1+u2v2

32
Q

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

A

UV/IIuIIIIvII

33
Q

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

A

Orthogonal

34
Q

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

A

Draw

35
Q

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

A

Use Pythagorean theorem or distance formula

36
Q

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

A

Vector

37
Q

Vectors have direction and magnitude (_______)

A

Length

38
Q

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

A

Equal

39
Q

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

A

Tan(theta)=b/a

40
Q

3600sin^x+3600cos^2x=

A

3600(1)

41
Q

The Magnitude is a _____

A

Number

42
Q

When doing tensions and force questions, don’t assume the written angles are correct, you need the angle of ______

A

Rotation