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Vector Algebra

Question
CBSEENMA12033975
Wired Faculty App

Find the sum of the vectors
straight a with rightwards arrow on top space equals space straight i with hat on top space minus space 2 straight j with hat on top space plus straight k with hat on top comma space space straight b with rightwards arrow on top space equals space minus 2 straight i with hat on top space plus space 4 straight j with hat on top space plus space 5 straight k with hat on top comma space straight c with rightwards arrow on top space equals space straight i with hat on top space minus space 6 straight j with hat on top space minus space 7 straight k with hat on top

Solution

 straight a with rightwards arrow on top space equals space straight i with hat on top space minus space 2 straight j with hat on top space plus space straight k with hat on top comma space space straight b with rightwards arrow on top space equals space minus 2 straight i with hat on top space plus space 4 straight j with hat on top space plus space 5 straight k with hat on top comma space space straight c with rightwards arrow on top space equals space straight i with hat on top space minus space 6 straight j with hat on top space minus space 7 straight k with hat on top
 Required vectors = straight a with rightwards arrow on top space plus space straight b with rightwards arrow on top space plus space straight c with rightwards arrow on top

               equals space left parenthesis straight i with hat on top space minus space 2 space straight j with hat on top space plus space straight k with hat on top right parenthesis space plus space left parenthesis negative 2 space straight i with hat on top space plus space 4 space straight j with hat on top space plus space 5 space straight k with hat on top right parenthesis space plus space left parenthesis straight i with hat on top space minus space 6 space straight j with hat on top space minus space 7 space straight k with hat on top right parenthesis equals space left parenthesis 1 minus 2 plus 1 right parenthesis space straight i with hat on top space plus space left parenthesis negative 2 plus 4 minus 6 right parenthesis space straight j with hat on top space plus space left parenthesis 1 plus 5 minus 7 right parenthesis space straight k with hat on top equals space 0 space straight i with hat on top space minus space 4 space straight j with hat on top space minus space straight k with hat on top space equals space minus 4 space straight j with hat on top space minus space straight k with hat on top

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work done

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