Solved: 6265. Distance between a point and a line Carry
Chapter 11, Problem 65(choose chapter or problem)
6265. Distance between a point and a line Carry out the following steps to determine the (least) distance between the point P and the line / through the origin. a. Find any vector v in the direction of /. b. Find the position vector u corresponding to P. c. Find projvu. d. Show that w = u - projvu is a vector orthogonal to v whose length is the distance between P and the line /. e. Find w and w. Explain why w is the least distance between P and /. P11, 1, -12; / is parallel to 8 -6, 8, 39. 6
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