Question

If A,B,C are mutually perpendicular, show that Cx(AxB)=0. Is the converse true?

Concept of Physics - 1 , HC VERMA , Chapter - "Physics and Mathematics"

Answer 1

Thanks for asking the question!

ANSWER::

Given:-

A , B , C are mutually perpendicular.

A and B is a vector whose direction is perpendicular to the plane containing A and B .
C is also perpendicular to A and B.

So , angle between C and A x B is 180° or 0° .
C x (A x B) = 0

But,
Converse is not true.

Lets see ,
If two vector are parallel then,
C x (A x B) = 0

So , they need to be mutually perpendicular.

Hope it helps!

Answer 2

Answer:

hope it will be helpful .........................