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The vector that must be added to the vec...

The vector that must be added to the vector `hati-3hatj+2hatk` and `3hati+6hatj+7hatk` so that the resultant vector is a unit vector along the y-axis is

A

`4hati+2hatj+5hatk`

B

`-4hati-2hatj+5hatk`

C

`3hati+4hatj+5hatk`

D

null vector

Text Solution

Verified by Experts

The correct Answer is:
B
Unit vector along y ais `hatj` so the required vector
`=hatj[(hati-3hatj+2hatk)+(3hati+6hatj-7hatk)]=-4hati-2hatj+5hatk`
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