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Question

# lf →P×→Q=→R;→Q×→R=→P and →R×→P=→Q are 3 non-zero vectors, then, a) →P,→Q and →R are coplanarb) Angle between →P and →Q may be less than 900c) →P+→Q+→R cannot be equal to zerod) →P,→Q and →R are mutually perpendicular( Given P≠Q≠R≠0 )

A
c and d are true
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B
a, b and c are true
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C
a and b are true
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D
d and b are true
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Solution

## The correct option is B c and d are trueThe three equations tell us that P,Q and R are mutually perpendicular to each other. Therefore they are non coplanar which implies that their sum cannot be equal to zero.Note: It is assumed that P is not equal to Q which is not equal to R.

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