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Vector Algebra

Question

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A, B and C are three collincar points such that $AB with rightwards arrow on top space equals space straight a with rightwards arrow on top space and space BC with rightwards arrow on top space equals straight b with rightwards arrow on top$ . Find the vector $AC with rightwards arrow on top$ .

Solution

We have $AC with rightwards arrow on top space equals space AB with rightwards arrow on top space plus space BC with rightwards arrow on top$
$therefore$ $AC with rightwards arrow on top space equals space straight a with rightwards arrow on top space plus space straight b with rightwards arrow on top$

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