8. Consider the following two planes: one with equation 4x – 5y + z = -2, and the other which passes through the points (1,1,1), (0,1, –1), (4,2, – 1). (a) Find a vector normal to the first plane. (b) Find an equation for the second plane.

8. Consider the following two planes: one with equation 4x – 5y + z = -2, and the other which passes through the points (1,1,1), (0,1, –1), (4,2, – 1). (a) Find a vector normal to the first plane. (b) Find an equation for the second plane.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.1: Length And Dot Product In R^n

Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...

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Question

8. Consider the following two planes: one with equation 4x – 5y + z = -2, and the other
which passes through the points (1,1,1), (0,1, –1), (4,2, – 1).
(a) Find a vector normal to the first plane.
(b) Find an equation for the second plane.

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