Vector Addition and Subtraction

Question 1

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

Revolt · Accepted Answer

|w| = 2.95

Question 2

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

Revolt · Accepted Answer

⇒ 5: -1, 5; ⇒ 3: 5, 3

Question 3

Choose the expression that produces the following resultant vectors.

Revolt · Accepted Answer

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

Question 4

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

Revolt · Accepted Answer

✔ d – 4a – 2b

Question 5

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

Revolt · Accepted Answer

✔ 5(a – c) + 3(b – d)

Question 6

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

Revolt · Accepted Answer

✔ c + 2(a – d) + b

Question 7

What is the y-component of vector v?

Revolt · Accepted Answer

y = –4

Question 8

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

Revolt · Accepted Answer

41.0, θ = 77.3°

Question 9

What mistake did Fumio make?

Revolt · Accepted Answer

He added vectors v and w before distributing the –3 to their components.

Question 10

Choose the expression that produces the following resultant vectors.

Revolt · Accepted Answer

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

Vector Addition and Subtraction Answers