03 * Consider the line in R³ that has a vector equation as (x, y, z) = (9, -1, 3) + t(-5, -1, 1), t E R. Which one of the following gives the coordinates for the point of intersection between this line and the plane with general equation 2x 3y + 4z - 3 = 0 ? (-4,-11,3) (-4,-7,3) (-41,-11,13) (-63,-31,29)

03 * Consider the line in R³ that has a vector equation as (x, y, z) = (9, -1, 3) + t(-5, -1, 1), t E R. Which one of the following gives the coordinates for the point of intersection between this line and the plane with general equation 2x 3y + 4z - 3 = 0 ? (-4,-11,3) (-4,-7,3) (-41,-11,13) (-63,-31,29)

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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Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check your work against the answers in the back of the book. Write w=(7,2,4) as a linear combination of the vectors v1, v2 and v3 if possible. v1=(2,1,0), v2=(1,1,0), v3=(0,0,6)

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