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Question

Find the angle between the lines x+33=y15=z+34 and x+11=y41=z52 .


Solution

Let(a1,b1,c1)=(3,5,4) and (a2,b2,c2)=(1,1,2)cos θ=a1a2+b1b2+c1c2a21+b21+c21a22+b22+c22=3+5+89+25+161+1+4=16506=16103θ=cos1(853)

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