Question

Find the angle between the planes whose vector equations are `vecr.(2hati + 2hatj - 3hatk) = 5 and hatr.(3hati - 3hatj  + 5hatk) = 3`

Answer 1

The equations of the given planes are `vecr.(2hati + 2hatj - 3hatk) = 5 and hatr.(3hati - 3hatj  + 5hatk) = 3`

It is known that if `vecn_1` and `vecn_2`are normal to the planes, `vecr.vecn_1 = d_1` and `vecr.vecn_2 = d_2`, then the angle between them, Q, is given by,