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Vector Algebra

Question
CBSEENMA12034267
Wired Faculty App

Find the value of the following:
straight i with hat on top space cross times 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

Solution

Consider straight i with hat on top space cross times 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
                      equals space straight i with hat on top space cross times space straight i with hat on top space plus space straight j with hat on top space cross times space straight j with hat on top space plus space straight k with hat on top space cross times space straight k with hat on top equals space 0 with rightwards arrow on top plus 0 with rightwards arrow on top plus 0 with rightwards arrow on top space equals space 0 with rightwards arrow on top

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