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  4. L is the foot of the perpendicular drawn from a point P(6,7,8) on the X Y-plane, then the coordinates of point L are

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Q. $L$ is the foot of the perpendicular drawn from a point $P(6,7,8)$ on the $X Y$-plane, then the coordinates of point $L$ are

Introduction to Three Dimensional Geometry

Solution:

Since, $L$ is the foot of perpendicular from $P$ on the $X Y$-plane, $Z$-coordinate is zero in the $X Y$-plane. Hence, coordinates of $L$ are $(6,7,0)$.