Question

if vectors A and B are 3i-4j+5k and 2i+3j-4k resceptly then find the unit vector parallel to A+B

Answer 1

Answer:

Explanation:

Add A+B

(3i-4j+5k )+(2i+3j-4k)

5i-j+k

Unit vector =5i-j+k/√5²+1²+1²

5i-j+k/√27

Answer 2

Answer:

Given:

A=3i-4j+5k

B=2i+3j-4k

To find:

Unit vector parallel to A+B.

Solution:

A+B=5i-j+k

Magnitude of A+B=√5²+1²+1²

|A+B|=√25+2

|A+B|=√27=3√3

Now,

Unit vector parallel to A+B=A+B/|A+B|

=5i-j+k/3√3

=5/3√3i-1/3√3j+1/3√3k

Explanation:

Hope it helps you......