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The position vectors of points A,B,C and...

The position vectors of points A,B,C and D are `A=3hati+4hatj+5hatk`,`B=4hati+5hatj+6hatk`,`C=7hati+9hatj+3hatk`, and `D=4hati+6hatj`, then the displacement vectors AB and CD are

A

perpendicular

B

parallel

C

antiparallel

D

inclined at an angle of `60^@`

Text Solution

Verified by Experts

The correct Answer is:
D
`vec(AB)=(4hati+5hatj+6hatk)-(3hati+4hatj+5hatk)=hati+hatj+hatk`
`vec(CD)=(4hati+6hatj)-(7hati+9hatj+3hatk)=-3hati-3hatj-3hatk`
`vec(AB)` and `vec(CD)` are parallel because its cross-products is 0.
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