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Multivariable CalculusMediumLines & Planes in Space

Lines & Planes in Space · Medium problem

The lines r1(t)=(1,2,0)+t⟨1,−1,2⟩\mathbf r_1(t) = (1, 2, 0) + t\langle 1, -1, 2\rangle and r2(s)=(4,−1,5)+s⟨2,−2,3⟩\mathbf r_2(s) = (4, -1, 5) + s\langle 2, -2, 3\rangle intersect at one point. Find the sum of the coordinates of that point.