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A and B are two points with coordinates ...

A and B are two points with coordinates `(x_(1),y_(1),z_(1))` and `(x_(2),y_(2),z_(2))`, respectively, in space. Let P and Q be feet of the perpendicular drawn from A and B to a line L whose direction ratios are l,m,n. Let `theta` be the angle between AB and L then find the value of `cos theta`

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To find the value of \( \cos \theta \) between the line segment \( AB \) and the line \( L \) with direction ratios \( l, m, n \), we can follow these steps: ### Step 1: Identify the Coordinates Let the coordinates of points \( A \) and \( B \) be given as: - \( A(x_1, y_1, z_1) \) - \( B(x_2, y_2, z_2) \) ### Step 2: Find the Direction Ratios of Line \( AB \) ...
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