17. Given the three points M(6,2,-3), N(-2,3,0), and P(-4,6,5), find: (a) the area of the triangle they define; (b) a unit vector perpendicular to this triangular surface; (c) a unit vector bisecting the interior angle of the triangle at M.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
Problem 2E
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17. Given the three points M(6,2,-3), N(-2,3,0), and P(-4,6,5), find: (a) the area of the
triangle they define; (b) a unit vector perpendicular to this triangular surface; (c) a unit
vector bisecting the interior angle of the triangle at M.
Transcribed Image Text:17. Given the three points M(6,2,-3), N(-2,3,0), and P(-4,6,5), find: (a) the area of the triangle they define; (b) a unit vector perpendicular to this triangular surface; (c) a unit vector bisecting the interior angle of the triangle at M.
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