For what value of x , will the two vecto...

For what value of x , will the two vector `A= 2hati + 2hatj -x hatk and B =2 hati - hatj - 3hatk ` are perpendicular to each other ?

A

`x=-2//3`

B

`x=-3//2`

C

`x=-4//3`

D

`x=-2//3`

Verified by Experts

The correct Answer is:

A

(a) For vector to be perpendicular ,
`A.B=0`
`implies(2hati+2hatj-xhatk).(2hati-hatj-3hatk)=0`
`implies4-2+3x=0`
`implies3x=- or x=(-2)/(3)`

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