Question

Q4 if IAXBI =IAI+IBI, is than angle between A and B will be
a) 90
b) 180
c)270
d) o​

Answer 1

Assuming A and B are non collinear and non parallel vectors.

Vector (A+B) will be in the plane containing vector A and vector B.

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

So the angle between vector (A+B) and vector (A × B) is $\large\boxed{\rm {<strong> </strong>90^{\circ}}}$

Since vector $\large\bf { ( A \times B) = |A| |B| \sin \theta \hat{u}}$

where

$\large\rm { |A|}$ is the magnitude of vector A.

$\large\rm{ |B|}$ is the magnitude of vector B

θ is the angle between vector A and vector B

û is the unit vector perpendicular to the plane containing vector A and vector B.