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CBSE Class 12-science Answered

verify that a x ( b + c) = ( a x b) + ( a x c) a = i – j – 3k  b = 4i – 3j + k c = 2i – j +2k a , b and c are vector         i j and k and k are unit vector
Asked by haroonrashidgkp | 01 Nov, 2018, 07:28: PM
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begin mathsize 16px style straight a with bar on top equals straight i with hat on top minus straight j with hat on top minus 3 straight k with hat on top comma space straight b with bar on top equals 4 straight i with hat on top minus 3 straight j with hat on top plus straight k with hat on top space and space straight c with bar on top equals 2 straight i with hat on top minus straight j with hat on top plus 2 straight k with hat on top consider comma straight a with bar on top cross times straight b with bar on top equals open parentheses straight i with hat on top minus straight j with hat on top minus 3 straight k with hat on top close parentheses cross times open parentheses 4 straight i with hat on top minus 3 straight j with hat on top plus straight k with hat on top close parentheses space space space space space space space space space equals open vertical bar table row cell straight i with hat on top end cell cell straight j with hat on top end cell cell straight k with hat on top end cell row 1 cell negative 1 end cell cell negative 3 end cell row 4 cell negative 3 end cell 1 end table close vertical bar space space space space space space space space space equals space left parenthesis negative 1 minus 9 right parenthesis straight i with hat on top minus open parentheses 1 plus 12 close parentheses straight j with hat on top plus open parentheses negative 3 plus 4 close parentheses straight k with hat on top space space space space space space space space space equals negative 10 straight i with hat on top minus 13 straight j with hat on top plus straight k with hat on top Similarly space you space can space find space straight a with bar on top cross times straight c with bar on top Also comma space space straight b with bar on top plus straight c with bar on top equals 4 straight i with hat on top minus 3 straight j with hat on top plus straight k with hat on top plus 2 straight i with hat on top minus straight j with hat on top plus 2 straight k with hat on top equals 6 straight i with hat on top minus 4 straight j with hat on top plus 3 straight k with hat on top and space find space straight a with bar on top cross times open parentheses straight b with bar on top plus straight c with bar on top close parentheses space and space verify space straight a with bar on top cross times open parentheses straight b with bar on top plus straight c with bar on top close parentheses equals open parentheses straight a with bar on top cross times straight b with bar on top close parentheses plus straight a with bar on top cross times straight c with bar on top end style
Answered by Sneha shidid | 02 Nov, 2018, 09:18: AM

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CBSE 12-science - Maths
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