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Find the vector and the cartesian equat...

Find the vector and the cartesian equations of the lines that passes through the origin and `(5, 2, 3)`.

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To find the vector and Cartesian equations of the line that passes through the origin and the point (5, 2, 3), we can follow these steps: ### Step 1: Identify the Points Let the origin be point \( A(0, 0, 0) \) and the point \( B(5, 2, 3) \). ### Step 2: Find the Direction Ratios The direction ratios of the line can be found using the coordinates of points A and B. The direction ratios can be calculated as: - \( x_2 - x_1 = 5 - 0 = 5 \) ...
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