Question

Calculate the area of the parallelogram whose two adjacent sides are formed by the vectors a = 3iˆ+ 4 ˆj and b = -3 iˆ+ 7 ˆj ?

Answer 1

I hope it will help you...

Answer 2

Given,

a = 3î+4j ˆ

b = -3î+7j ˆ

Are vectors.

To Find,

Area of the parallelogram

Solution,

Given two vectors.

a= 3i+4j

b=-3i+7j

Therefore, the area of the parallelogram can be found by cross-product.

Vector cross product is the operation on two vectors in 3D.

Vector a×Vector b =$\left[\begin{array}{ccc}i&j &k\\3&4&0\\-3&7&0\end{array}\right]$

|a×b| = i(0-0)-j(0-0)+k(21-(-12)k(21+12)

33square unit.

The area of the parallelogram with adjacent sides formed by the vectors is 33sqauare units.