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The scalar product of two vectors A=2hat...

The scalar product of two vectors `A=2hati +2hatj -hatk and B=-hatj +hatk` ,is given by

A

A.B=3

B

A.B=4

C

A.B=-4

D

A.B=-3

Text Solution

Verified by Experts

The correct Answer is:
D
(d) Given `A.B =2hati+2hatj-hatk`
`and B=-hatj +hatk`
`"scalar product" A.B =(2hati+2hatj-hatk).(-hatj+hatk)`
`"using"hati.hati=1,hatj.hatj=1,hatk.hatk=1`
"we have" A.B =-2-1=-3`
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