The area of a parallelogram whose adjacent sides are represented by the vectors `a = − hat i−2 hat j −3 hat k` and `b=− hat i+2 hat j – 3 hat k` is

Options

A. ` sqrt 14`
B. ` sqrt 6`
C. ` 4 sqrt 10`
D. 36

Answer

D

Explanation

`vecb xx vecc = |{:(hati,hatj,hatk),(1,-1,1),(4,2,4):}|=-6hati+6hatk`
`therefore [vecavecb xx vecc]=|{:(2,1,2),(1,-1,1),(-6,0,6):}|=-36`
`therefore` Volume =36