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What is the unit vector perpendicular to...

What is the unit vector perpendicular to the following Vector `2hat(i)+2hat(j)-hat(k)` and `6hat(i)-3hat(j)+2hat(k)?`

A

`(hati +10hat j-18 hatk)/(5sqrt(17))`

B

`(hati +10hat j+18 hatk)/(5sqrt(17))`

C

`(hati -10hat j-18 hatk)/(5sqrt(17))`

D

`(hati +10hat j+18 hatk)/(5sqrt(17))`

Text Solution

Verified by Experts

The correct Answer is:
c
Perpendicular vector is / are `pm(2hat i+ 2 hat j -hatk)xx(6hat i-3hat j+2 hatk)=pm(1hati-10hatj-18hatk)`
`rarr` unit vector is `px(hati-10 hatj-18hatk)/sqrt(1+100+324) pm(hati-10 hatj-18hatk)/(5sqrt(17))`
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