Vector Dot Product on Line (Jee Mains)

3D Line Equations and Skew

Medium

Vector Dot Product on Line

Let A and B be two distinct points on the line $L:\frac{{x - 6}}{3} = \frac{{y - 7}}{2} = \frac{{z - 7}}{{ - 2}}$ . Both A and B are at a distance $2\sqrt {17}$ from the foot of perpendicular drawn from the point (1, 2, 3) on the line L. If O is the origin, then $\overrightarrow {OA} \cdot \overrightarrow {OB}$ is equal to:

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