Two vectors A and B have components (0,1) and (-1,3), respectively. What is magnitude of the sum of these two vectors?

a) 3.2

b) 4.1

c) 3.9

d) 2.8

Question

Physics

Robbins

3 September, 00:44

Two vectors A and B have components (0,1) and (-1,3), respectively. What is magnitude of the sum of these two vectors?

a) 3.2

b) 4.1

c) 3.9

d) 2.8

+3

Answers (1)

Know the Answer?

Keaton Hammond · Answer 1

We first add the x and y components of the vector to get the x and y components of the resultant vector:

(0 - 1, 1 + 3)

-1, 4

magnitude = √ (1² + 4²)

magnitude = 4.12

The answer is B

Two vectors A and B have components (0,1) and (-1,3), respectively. What is magnitude of the sum of these two vectors?a) 3.2b) 4.1c) 3.9d) 2.8

Two vectors A and B have components (0,1) and (-1,3), respectively. What is magnitude of the sum of these two vectors?

a) 3.2

b) 4.1

c) 3.9

d) 2.8