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Grade Upto college levelVectors

Dear ,

IItians please solve this problem of vector algebra .

1696_14662_vector.JPG

Profile image of ravi soni
16 Years agoGrade Upto college level
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1 Answer

Profile image of Sona Srivastava
16 Years ago

{(a+b+c)x(a+b)}*c = { (a+b+c)Xa + (a+b+c)Xb }*c
                            = ( axa + bxa + cxa + axb +bxb + cxb )*c

axa = bxb = 0 (vector)
bxa=-axb

                            = ( cxa +cxb )*c

                            = (cx(a+b))*c

                            = - ((a+b)xc)*c

                            = - (a+b)xcxc

                            according to rules of vector triple product , = - (a+b)X(cxc)

cxc = 0(vector)

ans = 0(vector)