AnswersPrecalculusVectors and Their Components

Vector Addition and Subtraction Answers

15 verified answers1 views
1
Free Preview

Which of the following shows a proper representation of vector addition using the head-to-tail method?

A
[Image: Vector u + v goes up and to the right. 2 other vec...]
Option A
B
[Image: Vector u + v goes up and to the right. 2 other hav...]
Option B
C
[Image: Vector u + v goes up and to the right. Another vec...]
Option C
D
[Image: Vector u + v goes up and to the right. 2 other vec...]
Option D
2
Free Preview

22.5✔ 32.257.867.5

A
22.5
B
✔ 32.2
C
57.8
D
67.5
3

2a + b – 3cc + 2(a – d) + bd – 4a – 2b ✔ 5(a – c) + 3(b – d)

A
2a + b – 3c
B
c + 2(a – d) + b
C
d – 4a – 2b
D
✔ 5(a – c) + 3(b – d)
4

2a + b – 3c✔ c + 2(a – d) + bd – 4a – 2b 5(a – c) + 3(b – d)

A
2a + b – 3c
B
✔ c + 2(a – d) + b
C
d – 4a – 2b
D
5(a – c) + 3(b – d)
5

Choose the expression that produces the following resultant vectors.

Answers:
6i + 9j =:2a + b – 3c
2j =:d – 4a – 2b
–8i + 13j =:5(a – c) + 3(b – d)
–10i – 7j =:c + 2(a – d) + b
6

Let w represent the sum of vectors u and v. Find the magnitude of w and the angle between w and u given the following information:

Answers:
The magnitude of w is approximately .:26
The angle between w and u is approximately °.:32.2
7

Check all expressions whose sum represents the same vector as (r + s) + t.

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
E
Option
Option E
8

What is the magnitude and direction angle of vector c?

A
|c| = 5, θ = 36.9°
B
|c| = 5, θ = 53.1°
C
|c| = 25, θ = 16.3°
D
|c| = 25, θ = 73.7°
9

Vector has an initial point at (3, 3) and its terminal point is at (5, 7).

Answers:
⇒ 5:-1, 5
⇒ 3:5, 3
10

What is the magnitude of vector w, if w = u – v?

A
|w| = 2.77
B
|w| = 2.95
C
|w| = 3.58
D
|w| = 5.60
11

What is the y-component of vector v?

A
y = –3
B
y = –4
C
y = –20
D
y = 4
12

Choose the expression that produces the following resultant vectors.

Answers:
6i + 9j =:2a + b – 3c
2j =:d – 4a – 2b
–8i + 13j =:5(a – c) + 3(b – d)
–10i – 7j =:c + 2(a – d) + b
13

Perform the operations. 5r – 3s + 8tWhat is the magnitude and direction angle of the resultant vector?

A
10.8, θ = 56.3°
B
18.4, θ = 119.4°
C
41.0, θ = 77.3°
D
97.6, θ = 24.2°
14

What mistake did Fumio make?

A
He did not distribute the 2 to both components of vector u.
B
He added vectors v and w before distributing the –3 to their components.
C
He subtracted vector w from vector v.
D
He did not use the associative property correctly when rearranging the signs.
15

2a + b – 3cc + 2(a – d) + b✔ d – 4a – 2b5(a – c) + 3(b – d)

A
2a + b – 3c
B
c + 2(a – d) + b
C
✔ d – 4a – 2b
D
5(a – c) + 3(b – d)

Did you find these answers helpful?

More from this Course

Assignment
18 verified answers

Vectors and Their Components

Instruction
7 verified answers

Instruction

Instruction
5 verified answers

Vector Addition and Subtraction

Vector Addition and Subtraction Answers…