Question

If A=A1i+A2j and B=B1i+B2j are non parallel vectors than the direction of cross product of A and B is

Answer 1

Given:

A = A₁i + A₂j

B = B₁i + Bj

To find:

The direction of the cross product of A and B.

Solution:

The cross product also known as the vector product of A and B:

A×B = |A||B| sinθ n

Here θ is the angle between the two vectors A and B and is between 0, π, including the upper and lower limits.

And n is the unit vector which is perpendicular to both the vectors and can be founded out by the right handed system.

Here A and B vectors are in x-y plane therefore n must be in z axis.

Therefore the direction of cross product of A and B is k (along z-axis).