f the foot of the perpendicular from (1, 2, 3) to the line (x + 1)/2 = (y - 2)/5 = (z - 4)/1 is (α, β, γ), then find α + β + γ
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Solution 1
The given line is (x + 1)/2 = (y - 2)/5 = (z - 4)/1. Let's denote the common ratio as λ. So, the general point on the line can be written as P(2λ - 1, 5λ + 2, λ + 4).
The foot of the perpendicular from the point A(1, 2, 3) to the line will be the point on the line such that AP is perpendicular to t Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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