Question

Find the area of the parallelogram whose adjacent sides are determined by the vectors
$i \: - \: j \: + 3k$
and
$2i \: - \: 7j \: + \: k$
.​

Answer 1

Answer:

we know arwa of parallogram = base × height

we have given two adjacent vector

by cross product A×B=absinx

where a and b are magnitude of A and B

asinx= height( perpendicular component of one side give height make diagram )

b= base

so magnitude of cross product is actually represent area of parallogram

see attachment

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