If a- b- c are non-zero vectors such that -a-b- and a-2a-b-c-b-a-2b-c- then which of the following is-are true -

Given: a·(2a+b c)=b·(a+2b+c) ⇒ 2|a|^2+a·b a·c=b·a+2|b|^2+b·c ⇒ nbsp;a·c+b·c=0 [∵ |a|=|b|,a·b=b·a] ⇒ nbsp;c·(a+b)=0 ⇒a+b=0 or c⊥(a+b) [∵c0] ...

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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 $| \to a | = | \to b |$ and $\to a \cdot (2 \to a + \to b - \to c) = \to b \cdot (\to a + 2 \to b + \to c),$ then which of the following is/are true ?

\to a + \to b = \to 0

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\to c ⊥ (\to a + \to b)

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\to b + \to c = \to 0

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\to a ⊥ (\to b + \to c)

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