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Question

Find the measure of the acute angle between the lines whose direction rations are 1, 2, 2 and 3, 6, 2

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Solution

For lines with direction ratios, a and b, the acute angle θ between them is given by:
cosθ=|ab||a||b|
cosθ=|13+26+22|12+22+22(3)2+62+22=13949=1337
θ=cos1(1321)

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