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Find the vector that must be added to th...

Find the vector that must be added to the vector `hat(i)-3hat(j)+2hat(k)` and `3hat(i)+6hat(j)-7hat(k)` so that the resultant vector is a unit vector along the y-axis.

A

`-4hati-2hatj+5hatk`

B

`-4hati+2hatj+5hatk`

C

`4hati-2hatj+5hatk`

D

`-4hati-2hatj-5hatk`

Text Solution

Verified by Experts

The correct Answer is:
A
(a)`(hati-3hatj+2hatk)+(3hati+6hatj-7hatk)+r=hatj`
`implies r=-4hati-2hatj+5hatk`
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