1.

Determine the area of parallelogram whose adjacent sides are the vector hati+hatj, -hati+2hatj

Answer»

SOLUTION :Let `veca = hati+hatj, vecb = -hati+2hatj`
Then `vecaxxvecb = (hati+hatj)XX(-hati+2hatj)`
=`-hatixxhati+2hatixxhatj-hatjxxhati+2hatixxhatj`
`2hatk+hatk = 3hatk`
AREA of the PARALLELOGRAM
=`|vecaxxveca| = |3hatk|` = 3 square units.


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