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If vecA=2hati+3hatj-hatk and vecB=-hati+...

If `vecA=2hati+3hatj-hatk` and `vecB=-hati+3hatj+4hatk` then projection of `vecA` on `vecB` will be

A

`(3)/(sqrt(13))`

B

`(3)/(sqrt(26))`

C

`sqrt((3)/(26))`

D

`sqrt((3)/(13))`

Text Solution

Verified by Experts

The correct Answer is:
B
`vecA. vecB= (2hati + 3hatj-hatk).((-hati + 3hatj + 4hatk)/(sqrt(1 + 9+16)))`
`" "=(-2 +9-4)/(sqrt(26))`
`" "(3)/(sqrt(26))unit`
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