If vectors m=(2i-3j) m and n=(-5i+7j) m . . .

Question : If vectors m=(2i-3j) m and n=(-5i+7j) m represent two adjacent sides of a parallelogram, then the area of the parallelogram will be ____________ (in m²)

Doubt by Suhani 

Solution : 

m=(2i-3j) m 
n=(-5i+7j) m

We know, 
Area of parallelogram = |m×n|

m×n
=(2i-3j)×(-5i+7j)
= 0+14(i×j)+15(j×i)-0
= 14k+15(-k)
= 14k-15k
=-1k

|m×n| = |-1k|
|m×n| = 1

Hence, the required area of parallelogram is 1 m²