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Two vector vec(a)=3hat(i)+8hat(j)-2hat(k...

Two vector `vec(a)=3hat(i)+8hat(j)-2hat(k)` and `vec(b)=6hat(i)+16hat(j)+xhat(k)` are such that the component of `vec(b)` perpendicular to `vec(a)` is zero. Then the value of `x` will be `:-`

A

`8`

B

`-4`

C

`+4`

D

`-8`

Text Solution

Verified by Experts

The correct Answer is:
B
`vec(a)` and `vec(b)` have to be parallel
`(3)/(6)=(8)/(16)=(-2)/(x) rArr x=-4`
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