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Dear , IItians please solve this problem of vector algebra .

Dear ,


IItians please solve this problem of vector algebra .


1696_14662_vector.JPG

Grade:Upto college level

1 Answers

Sona Srivastava
38 Points
11 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)

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