A plane contains the point A(-1,2,5) and has direction vectors (2,-1,3) and (-3,1,5). Which of the following is a vector equation for the plane? a) (x,y,z) = (2,-1,3) + s(-1,2,5) + t(-3,1,5) b) (x,y,z) = (-3,1,5) + s(-1,2,5) + t(2,-1,3) c) (x,y,z) = (-1,2,5) + s(2,-1,3) + t(-3,1,5) d) (x,y,z) = (-1,2,5) + s(2,-1,3) + t(-8,-19,-1)

A plane contains the point A(-1,2,5) and has direction vectors (2,-1,3) and (-3,1,5). Which of the following is a vector equation for the plane? a) (x,y,z) = (2,-1,3) + s(-1,2,5) + t(-3,1,5) b) (x,y,z) = (-3,1,5) + s(-1,2,5) + t(2,-1,3) c) (x,y,z) = (-1,2,5) + s(2,-1,3) + t(-3,1,5) d) (x,y,z) = (-1,2,5) + s(2,-1,3) + t(-8,-19,-1)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 7E

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Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of its length. b u has the direction opposite that of v and twice its length.

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Elementary Geometry For College Students, 7e

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