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Unit vector parallel to the resultant of...

Unit vector parallel to the resultant of vectors `vec(A)= 4hat(i)-3hat(j)` and `vec(B)= 8hat(i)+8hat(j)` will be

A

`(24hati+5hatj)/(13)`

B

`(12hati+5hatj)/(13)`

C

`(6hati+5hatj)/(13)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Resultant of vertors `vecA` and `vecB`
`vecR=vecA+vecB=4hati-3hatj+8hati+8hatj=12hati+5hatj`
`hatR=(vecR)/(|R|)=(12hati+5hatj)/(sqrt((12)^(2)+(5)^(2)))=(12hati+5hatj)/(13)`
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