The two vectors s= (3,2,-1) and t = (-2, 1,4) define a plane. (a) Determine the unit vector normal to the plane. (b) Does the vector p = (9,-4, 7) lie in the same plane as s and t? (c) Given a point in space q = (6, -2,0), determine the equation of the plane spanned b s and t that contains the point q in the form ax+by+cz+d=0.

The two vectors s= (3,2,-1) and t = (-2, 1,4) define a plane. (a) Determine the unit vector normal to the plane. (b) Does the vector p = (9,-4, 7) lie in the same plane as s and t? (c) Given a point in space q = (6, -2,0), determine the equation of the plane spanned b s and t that contains the point q in the form ax+by+cz+d=0.

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.CR: Chapter Review

Problem 5CC

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