Question

calculate the area of the parallelogram when adjacent sides are given by the vector a=I+2j+3k and b=2i -3j+k​

Answer 1

Answer:

Answer

a

=

i

^

−

j

^

+3

k

^

b

=2

i

^

−7

j

^

+

k

^

Area of parallelogram

a

×

b=

∣

∣

∣

∣

∣

∣

∣

∣

i

1

2

j

−1

−7

k

3

1

∣

∣

∣

∣

∣

∣

∣

∣

=

i

^

(−1+21)−

j

^

(1−6)+

k

^

(−7+2)

=20

i

^

+5

j

^

−5

k

^