Question

The two adjacent sides of a parallelogram are 2i-4j-5k and 2i+2j+3k . find its area

Answer 1

Taking the Above two equations in the form of matrix

We get

i   j   k
2  2  3
2  -4  -5

Now Solving this matrix we get

Area of parallelogram = root [ 2^2 + -4^2  + -4^2 ]
                                    = root [  4 +16 + 16 ]
                                   = root [ 36 ]
                                 = 6 units