Question

Find the area of a parallelogram formed by vectors
À = 3î +2j, B =-3ỉ + 7
(Central Schools 07]
(Ans. 3/3 square units)​

Answer 1

Answer:

A

=3

i

^

+2

j

^

and

B

=−3

i

^

+7j

We know the area of parallelogram formed by

A

and

B

is given by ∣

A

×

B

∣

A

×

B

=(3

i

^

×2

j

^

)×(−3

i

^

+7

j

^

)

=21

k

^

+6

k

^

∣

A

×

B

∣=27

⇒ area of parallelogram =27

Area=27sqr.unit