Question

Find the area of Parallelogram
formed by A and B vectors. A = i + j
and B = i- j
ans = 2 square unit​

Answer 1

Answer:

Let A=2i+3j and B=i+4j .

Area of paralleogram A∗B=(2i+3j+0k)∗(i+4j+0k)

For i component we have,

(3∗0)−(4∗0)=0

For j component we have,

(0∗2)−(1∗0)=0

For k component we have,

(2∗4)−(1∗3)=5.

Now take the magnitude of this vector to find the area of the parallelogram:

A∗B=

0

2

+0

2

+5

2

=0+0+5=5units