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Vector Algebra

Question
CBSEENMA12034270

The value of 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 i with hat on top space cross times space straight k with hat on top right parenthesis space plus space straight k with hat on top. space left parenthesis straight i with hat on top space cross times space straight j with hat on top right parenthesis is

  • 0

  • -1

  • 1

  • 3

Solution

C.

1

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 i with hat on top space cross times space straight k with hat on top right parenthesis space plus space straight k with hat on top. space left parenthesis straight i with hat on top space cross times space straight j with hat on top right parenthesis
space space equals space straight i with hat on top space. space straight i with hat on top space plus space straight j with hat on top. space left parenthesis negative straight j with hat on top right parenthesis space plus space straight k with hat on top. space straight k with hat on top space equals space straight i with hat on top. space straight i with hat on top space minus space straight j with hat on top. space straight j with hat on top space plus space straight k with hat on top. space straight k with hat on top
space equals space 1 minus 1 plus 1 space equals space 1
therefore space space left parenthesis straight C right parenthesis space is space correct space answer.