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Vector Algebra

Question
CBSEENMA12034083
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If left parenthesis straight a with rightwards arrow on top plus straight b with rightwards arrow on top right parenthesis. space left parenthesis straight a with rightwards arrow on top minus straight b with rightwards arrow on top right parenthesis space equals 0 show that open vertical bar straight a with rightwards arrow on top close vertical bar space equals open vertical bar straight b with rightwards arrow on top close vertical bar

Solution
because space space left parenthesis straight a with rightwards arrow on top plus straight b with rightwards arrow on top right parenthesis. space left parenthesis straight a with rightwards arrow on top minus straight b with rightwards arrow on top right parenthesis space equals space 0
therefore space space space straight a with rightwards arrow on top squared space equals space straight b with rightwards arrow on top squared comma space space space space or space space space open vertical bar straight a with rightwards arrow on top close vertical bar squared space equals space open vertical bar straight b with rightwards arrow on top close vertical bar squared space space space space rightwards double arrow space space space open vertical bar straight a with rightwards arrow on top close vertical bar space equals space open vertical bar straight b with rightwards arrow on top close vertical bar

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