If a-b- c- are vectors such that a-b-0 and a-b-c- then

We have, a⃗+b⃗=c⃗ ⇒ |c⃗|^2=|a⃗|^2+|b⃗|^2+2 a⃗.b⃗ ⇒ |c⃗|^2=|a⃗|^2+|b⃗|^2+2 × 0 [∵a⃗.b⃗=0] ⇒ |c⃗|^2=|a⃗|^2+|b⃗|^2 ...

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Applications of Dot Product

If a⃗,b⃗, c⃗ ...

Question

If $\to a, \to b, \to c$ are vectors such that $\to a . \to b = 0$ and $\to a + \to b = \to c$ , then

| \to a |^{2} + | \to b |^{2} = | \to c |^{2}

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| \to a |^{2} = | \to b |^{2} + | \to c |^{2}

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| \to b |^{2} + | \to a |^{2} = | \to c |^{2}

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