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Vector Algebra

Question
CBSEENMA12034017
Wired Faculty App

If straight P with rightwards arrow on top left parenthesis 1 comma space 5 comma space 4 right parenthesis and straight Q with rightwards arrow on top space left parenthesis 4 comma space 1 comma space minus 2 right parenthesis, find the direction ratios of PQ with rightwards arrow on top.

Solution

Here,   OP with rightwards arrow on top space equals space straight i with hat on top space plus space 5 space straight j with hat on top space plus space 4 space straight k with hat on top comma space space space OQ with rightwards arrow on top space equals space 4 space straight i with hat on top space plus space straight j with hat on top space minus space 2 space straight k with hat on top
 therefore space space space space space space space space space PQ with rightwards arrow on top space equals space OQ with rightwards arrow on top space minus space OP with rightwards arrow on top space equals space left parenthesis 4 space straight i with hat on top space plus space straight j with hat on top space minus space 2 space straight k with hat on top right parenthesis space minus space left parenthesis straight i with hat on top space plus space 5 space straight j with hat on top space plus space 4 space straight k with hat on top right parenthesis
                            equals space 3 space straight i with hat on top space minus space 4 space straight j with hat on top space minus space 6 space straight k with hat on top
therefore space space space space direction space ratios space of space PQ with rightwards arrow on top space are space 3 comma space minus 4 comma space minus 6.

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