Question

What is the angle between resultant of A + B and A x B.

विकल्प

• π rad

• 0°

• `pi/4` rad

• `pi/2` rad

Answer 1

`pi/2` rad

Explanation:

The vector (A+ B) will be In plane containing vector A and vector B.

Vector (A × B) will be perpendicular to the plane containing vector A and B.

Thus, the angle between (A + B) and (A × B) is 90° or `pi/2`rad.

Alternate solution-

(A + B) · (A × B) = |A + B| |A × 8| cos α

A · (A × B) + B · (A × B) = |A + B| |A × B| cos α

0 + 0 = |A + B| |A × B| cos α

⇒ cos α = 0

α = 90° or `pi/2`rad