Question

If A = 3i+2j and B = -3i+7j represent two consecutive sides of a parallelogram , the area of parallelogram is *

Answer 1

Answer:

We know that ,

Area of parallelogram is given by the half of the mod of the cross product of two vectors .

Cross product of A and B = 27k(cap)

Hence , area of parallelogram = 27 / 2 = 13.5 square units .

Answer 2

Answer:

The area is =33/2u²

Explanation:

The area of the triangle is calculated with the cross product ot the 2 vectors.

Let the ˆk component be =0

Area is

A=12⋅∣∣ ∣ ∣∣⎛⎜⎝ˆiˆjˆk340−370⎞⎟⎠∣∣ ∣ ∣∣

=12(ˆi(4⋅0−7⋅0)−ˆj(3⋅0+3⋅0)+ˆk(3⋅7+3⋅4))

=12⋅<0,0,33>

The area is =33/2