Q16 of 60 Page 29

If are mutually perpendicular, show that Is the converse true?

Given:

, and are mutually perpendicular.


A×B is a vector with its direction perpendicular to the plane containing and .



∴ The angle between


and × is either 0° or 180°.


i.e., =0


However, the converse is not true. For example, if two of the vectors are parallel, then also,


=0



So, they need not be mutually perpendicular.


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