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If vec(A) and vec(B) are perpendicular V...

If `vec(A)` and `vec(B)` are perpendicular Vectors and vector `vec(A)= 5hat(i)+7hat(j)-3hat(k)` and `vec(B)= 2hat(i)+2hat(j)-ahat(k)`. The value of `a` is

A

-2

B

8

C

7

D

-8

Text Solution

Verified by Experts

The correct Answer is:
D
For perpendicular vector `vec(A).vec(B)=0`
`implies (5hat(i)+7hat(j)-3hat(k)).(2hat(i)+2hat(j)-ahat(k))=0`
`implies 10+14+3a=0 implies a= -8`
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A2Z-VECTORS-Dot Product
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