If a- b- c are non-zero vectors such that a-b-c-c-a-b- then which of the following can be true -

Given; a·(b+c)=c·(a+b) ⇒ nbsp;a·b+a·c=c·a+c·b ⇒ nbsp;b·(a c)=0 [∵a·c=c·a] ⇒a c=0 or b⊥(a c) [∵b0] ∴a=c or b⊥(a c) ...

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Condition for Two Lines to be on the Same Plane

If a, b, c ar...

Question

If $\to a, \to b, \to c$ are non-zero vectors such that $\to a \cdot (\to b + \to c) = \to c \cdot (\to a + \to b),$ then which of the following can be true ?

\to a = \to b

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\to a ⊥ (\to b - \to c)

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\to a = \to c

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\to b ⊥ (\to a - \to c)

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