Question

Given the displacement vectors A=3i-4j+4k, B=2i+3j-7k. Find the magnitude of the vectors a) A+B b) 2A-B

Answer 1

a) √35

b) √362

explanation is given in the attachment, plz mark as the brainliest

Answer 2

a) $\sqrt{35}$

b) $\sqrt{362}$

Given:

A=3i-4j+4k

B=2i+3j-7k

To find:

The magnitude of the vectors:

a) A+B

b) 2A-B

Solution:

a) A + B

=> A+B = (3i-4j+4k) + (2i+3j-7k)

=> A+B = 5i-j-3k

Magnitude = $\sqrt{25 + 1 + 9}$ =$\sqrt{35}$

b) 2A - B

=> 2A-B = (6i-8j+8k) - (2i+3j-7k)

=> 2A-B = 4i -11j + 15k

Magnitude = $\sqrt{16 + 121 + 225}$ = $\sqrt{362}$

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