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Vector Algebra

Question
CBSEENMA12033963
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If A and B are two points in space and if they become respectively A', B' on a translation, show that AB with rightwards arrow on top space equals space stack straight A apostrophe space straight B apostrophe with rightwards arrow on top

Solution
After translation, the positions of A, B are . A', B’ respectively.
therefore space space space space AA apostrophe space equals space BB apostrophe space and space AA apostrophe space vertical line vertical line thin space BB apostrophe therefore space space space ABB apostrophe straight A apostrophe space is space straight a space space parllelogram therefore space space space AB space equals space straight A apostrophe straight B apostrophe space and space AB vertical line vertical line straight A apostrophe straight B apostrophe rightwards double arrow space space space space AB with rightwards arrow on top space equals stack straight A apostrophe space straight B apostrophe with rightwards arrow on top.

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