Word Count : 331

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We are tasked with finding the projection of the line segment joining the points \( P_1(1, -1, 6) \) and \( P_2(4, 3, 2) \) onto the line given by the equation: \[ \frac{x - 4}{3} = -y = \frac{z}{5} \] ### Step 1: Parametrize the line The equation of the line can be rewritten as: \[ \frac{x - 4}{3} = -y = \frac{z}{5} = t ____ _______ _____ _____ __________ ______ ______.
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