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Vector Algebra

Question
CBSEENMA12034266
Wired Faculty App

Find the value of the following:
straight i with hat on top. space left parenthesis straight j with hat on top space cross times space straight k with hat on top right parenthesis space plus space straight j with hat on top space cross times space left parenthesis straight k with hat on top space cross times space straight i with hat on top right parenthesis space plus space straight k with hat on top space cross times space left parenthesis straight i with hat on top space cross times space straight j with hat on top right parenthesis space

Solution

Consider straight i with hat on top. space left parenthesis straight j with hat on top space cross times space straight k with hat on top right parenthesis space plus space straight j with hat on top. space left parenthesis straight k with hat on top space cross times space straight i with hat on top right parenthesis space plus space space straight k with hat on top space. space left parenthesis straight i with hat on top space cross times space straight j with hat on top right parenthesis
                equals space straight i with hat on top. space straight i with hat on top space plus space straight j with hat on top space. space straight j with hat on top space plus space space straight k with hat on top. space straight k with hat on top equals space 1 plus 1 plus 1 space equals space 3

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