If the mirror image of the point P(3,4,9) in the line x−13=y+12=z−21 is (α,β,γ), then 14(α+β+γ) is :
Question
Solution 1
The mirror image of a point in a line is given by the formula:
P'(x', y', z') = P(x, y, z) - 2 * [(x - x1)(a) + (y - y1)(b) + (z - z1)(c)] / (a^2 + b^2 + c^2) * (a, b, c)
Where P(x, y, z) is the point, P'(x', y', z') is the mirror image, (x1, y1, z1) is a point on the line, and (a, b, c) are the d Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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