Let p, q and r be vectors such that r neq 0,p | vedclass

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(C) Given that $p 	imes q = r$ and $q 	imes p = r$.We know that the cross product is anticommutative,so $q 	imes p = -(p 	imes q)$.Substituting th

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Both $(i)$ and (ii) are incorrect

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(C) Given that $p 	imes q = r$ and $q 	imes p = r$.We know that the cross product is anticommutative,so $q 	imes p = -(p 	imes q)$.Substituting the given values,we get $r = -r$,which implies $2r = 0$,so $r = 0$.However,the problem states that $r 
eq 0$.Since the condition $p 	imes q = q 	imes p = r$ leads to a contradiction $(r = 0)$ given $r 
eq 0$,the premises provided in the question are mathematically inconsistent.Assuming the question intended to imply properties of cross products where $p 	imes q = r$,then $r$ is orthogonal to both $p$ and $q$.However,based on the strict logical interpretation of the provided equations,both statements $(i)$ and (ii) cannot be satisfied simultaneously under the constraint $r 
eq 0$.

Let $p, q$ and $r$ be vectors such that $r \neq 0$,$p \times q = r$,and $q \times p = r$. Then which of the following is true?
$(i)$ $p, q, r$ are pair-wise orthogonal vectors
(ii) $|q| = |r| = |p|$

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Let $p, q$ and $r$ be vectors such that $r \neq 0$,$p \times q = r$,and $q \times p = r$. Then which of the following is true?$(i)$ $p, q, r$ are pair-wise orthogonal vectors(ii) $|q| = |r| = |p|$