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Find a line intersection and its acute angle

Given l1:r=(1,2,3)+λ(1,2,5)l_1:\mathbf r=(1,2,3)+\lambda(1,2,5) and l2:r=(2,1,7)+μ(1,5,6)l_2:\mathbf r=(2,1,7)+\mu(1,5,6), with λ,μ real, find (i) their point of intersection and (ii) their acute angle.

CJC · Lecture · Self-Practice 8

Choose a point on the line and a nonzero direction; keep one parameter consistent across all components.

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