Let A = 3 , 4 , 0 , B = 4 , 4 , 4 , C = - 6 , 2 , 3 and D = 1 , 1 , 2 . If θ is the acute angle between the lines A B and C D then cos θ =

Question

Let A = 3 , 4 , 0 , B = 4 , 4 , 4 , C = - 6 , 2 , 3 and D = 1 , 1 , 2 . If θ is the acute angle between the lines A B and C D then cos θ =, 4 17 3, 3 17 3, 12 17 3, 11 17 3

MARKS App · Accepted Answer

Given A = 3 , 4 , 0 , B = 4 , 4 , 4 , C = - 6 , 2 , 3 and D = 1 , 1 , 2 . Direction ratios of line A B ≡ "> 1 , 0 , 4 and direction ratios of line C D ≡ "> 7 , - 1 , - 1 So, cos θ = 7 + 0 - 4 1 2 + 0 + 4 2 7 2 + 1 2 + 1 2 = 3 17 51 = 3 17 3

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