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Find the coordinates of the point where the line through the points A (3, 4, 1) and B(5, 1, 6) crosses the XY-plane.

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To find the coordinates of the point where the line through points A(3, 4, 1) and B(5, 1, 6) crosses the XY-plane, we will follow these steps: ### Step 1: Determine the direction ratios of the line The direction ratios of the line through points A and B can be found using the coordinates of the two points. The direction ratios (d) can be calculated as: - \( d_x = x_2 - x_1 = 5 - 3 = 2 \) - \( d_y = y_2 - y_1 = 1 - 4 = -3 \) - \( d_z = z_2 - z_1 = 6 - 1 = 5 \) ...
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