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Let-a-i-j-and-b-2i-k-the-point-of-intersection-of-the-lines-r-a-b-a-and-r-b-a-b-is-

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Question Number 54420 by gunawan last updated on 03/Feb/19
Let a=i+j and b=2i−k, the point of intersection of the lines r×a=b×a and r×b=a×b is
Leta=i+jandb=2i−k,thepointofintersectionofthelinesr×a=b×aandr×b=a×bis
Answered by tanmay.chaudhury50@gmail.com last updated on 03/Feb/19
r=ix+jy+kz r×a=[i j k ] =i(0−z)−j(0−z)+k(x−y) [x y z ] [1 1 0] b×a=[i j k ]=i(0+1)−j(0+1)+k(2) [2 0 −1] [1 1 0] so (−z)=1 (−z)=1 x−y=2 [ z=−1]] r×b=[i j k ]=i(−y−0)−j(−x−2z)+k(0−2y) [x y z ] [2 0 −1] a×b=−(b×a)=−i+j−2k so −y=−1 [y=1] x+2z=1 x=1−2(−1)=3 x−y=2 x=2+1=3 [x=3 y=1 z=−1] r=3i+j−k pls write question clearly....
r=ix+jy+kzr×a=[ijk]=i(0−z)−j(0−z)+k(x−y)[xyz][110]b×a=[ijk]=i(0+1)−j(0+1)+k(2)[20−1][110]so(−z)=1(−z)=1x−y=2[z=−1]]r×b=[ijk]=i(−y−0)−j(−x−2z)+k(0−2y)[xyz][20−1]a×b=−(b×a)=−i+j−2kso−y=−1[y=1]x+2z=1x=1−2(−1)=3x−y=2x=2+1=3[x=3y=1z=−1]r=3i+j−kplswritequestionclearly….

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