1.

Show that the following vector are co-planar. hati-2hatj+2hatk, 3hati+4hatj+5hatk, -2hati+4hatj-4hatk.

Answer»

Solution :Let `VECA = hati-2hatj+2hatk`
`vecb = 3hati+4hatj+5hatk`
`vecc = -2hati+4hatj-4hatk`

The vectors `veca.vecb.vecc` are coplanar if `(VECAXXVECB).vecc = 0`
HENCE as `(vecaxxvecb).vecc = 0 the GIVEN vectors are coplanar.


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