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CBSE Class 12-science Answered

Find the value of

 i X ( j + k) + j X ( k + i) + k X ( i + j)

        i j and k and k are unit vector

Give complete solution do not go shortcut

Asked by haroonrashidgkp | 31 Oct, 2018, 05:50: PM
Expert Answer
begin mathsize 16px style straight i with hat on top cross times open parentheses straight j with hat on top plus straight k with hat on top close parentheses plus straight j with hat on top cross times open parentheses straight k with hat on top plus straight i with hat on top close parentheses plus straight k with hat on top cross times open parentheses straight i with hat on top plus straight j with hat on top close parentheses
equals straight i with hat on top cross times straight j with hat on top plus straight i with hat on top cross times straight k with hat on top plus straight j with hat on top cross times straight k with hat on top plus straight j with hat on top cross times straight i with hat on top plus straight k with hat on top cross times straight i with hat on top plus straight k with hat on top cross times straight j with hat on top
equals straight k with hat on top minus straight j with hat on top plus straight i with hat on top minus straight k with hat on top plus straight j with hat on top minus straight i with hat on top space space space space space space space space space space space space space space space space space space space space space space space space space space space
Using space straight i with hat on top cross times straight j with hat on top space equals space straight k with hat on top comma space straight i with hat on top cross times straight k with hat on top equals negative straight j with hat on top comma space straight j with hat on top cross times straight k with hat on top equals straight i with hat on top comma space straight j with hat on top cross times straight i with hat on top equals negative straight k with hat on top comma straight k with hat on top cross times straight i with hat on top equals straight j with hat on top comma space straight k with hat on top cross times straight j with hat on top equals negative straight i with hat on top space
equals 0 end style
Answered by Sneha shidid | 01 Nov, 2018, 10:35: AM
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