InterviewSolution
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InterviewSolution
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यदि `vec(a)xxvec(b)=vec(b)xxvec(c)ne vec(0)` तो दिखाएँ कि `vec(a)+vec(c)=k vec(b)`जहाँ k एक अदिश है | |
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Answer» `vec(a)xxvec(b)=vec(b)xxvec(c)` `implies" "vec(a)xxvec(b)-vec(b)xxvec(c)=0` `implies" "(vec(a)xxvec(b))+(vec(c)xxvec(b))=vec(0)" "[because (vec(b)xxvec(c))=-(vec(c)xxvec(b))]` `implies" "(vec(a)+vec(c))xxvec(b)=vec(0)" "["वितरण नियम से"]` `implies" "(vec(a)+vec(c))||vec(b)` `implies" "(vec(a)+vec(c))=k vec(b)`, जहाँ k एक अदिश है | |
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