AnswersNC-Math 4 CRVector Addition and Subtraction

Vector Addition and Subtraction Answers

21 verified answers2 views
1
Free Preview

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

A
Option
B
Option
C
Option
D
Option
E
Option
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)
171204

22.5✔ 32.257.8X 67.5

A
22.5
B
✔ 32.2
C
57.8
D
X 67.5
171209

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)
171210

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°
171211

[___], [___]

Answer:

-1, 5

171212

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
171213

What is the y-component of vector v?

A
y = –3
B
y = –4
C
y = –20
D
y = 4
171214

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
171216

What mistake did Fumio make?He did not distribute the 2 to both components of vector u.He added vectors v and w before distributing the –3 to their components.He subtracted vector w from vector v.He did not use the associative property correctly when rearranging the signs.

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.
171217

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...]
B
[Image: Vector u + v goes up and to the right. 2 other hav...]
C
[Image: Vector u + v goes up and to the right. Another vec...]
D
[Image: Vector u + v goes up and to the right. 2 other vec...]
171218

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)
171220

Question text not available

Answer not available
171221

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)
171222

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)

Did you find these answers helpful?