10. Given points. P(2,5,-1). Q(-1,-4,1), and 7(5,0,2), find: (a) the vector Reg: (b) a unit vector in the direction of Regi (c) the length of the perimeter of the triangle PQT; (d) the interior angle at Q: (e) the vector projection of Reo on Rer: (f) the length of the altitude of the triangle that extends from Q perpendicularly to the opposite side or its extension.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
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10. Given points. P(2,5,-1), Q(-1,-4,1), and 7(5,0,2), find: (a) the vector Reg: (b) a unit
vector in the direction of Regi (c) the length of the perimeter of the triangle PQT;
(d) the interior angle at Q: (e) the vector projection of Reo on Rer: (f) the length of the
altitude of the triangle that extends from Q perpendicularly to the opposite side or
its extension.
Transcribed Image Text:10. Given points. P(2,5,-1), Q(-1,-4,1), and 7(5,0,2), find: (a) the vector Reg: (b) a unit vector in the direction of Regi (c) the length of the perimeter of the triangle PQT; (d) the interior angle at Q: (e) the vector projection of Reo on Rer: (f) the length of the altitude of the triangle that extends from Q perpendicularly to the opposite side or its extension.
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