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Consider the planes 2x + 2y + 1z = 1 and 2x + 1z = 0. (A) Find the unique point P on the y-axis which is on both planes. O00 (B) Find a unit vector u with positive first coordinate that is parallel to both planes. i+ j + k (C) Use parts (A) and (B) to find a vector equation for the line of intersection of the two planes,r(t) = i+ j k + NOTE: Part (C) is counted as a single question. All three components must be filled in to receive credit. There are many different correct answers to this question.

Consider the planes 2x + 2y + 1z = 1 and 2x + 1z = 0. (A) Find the unique point P on the y-axis which is on both planes. O00 (B) Find a unit vector u with positive first coordinate that is parallel to both planes. i+ j + k (C) Use parts (A) and (B) to find a vector equation for the line of intersection of the two planes,r(t) = i+ j k + NOTE: Part (C) is counted as a single question. All three components must be filled in to receive credit. There are many different correct answers to this question.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 49EQ
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6 Lines Planes 10.5: Problem 1 Consider the planes 2x + 2y + 1z = 1 and 2x + 1z = 0. %3| (A) Find the unique point P on the y-axis which is on both planes. O00 (B) Find a unit vector u with positive first coordinate that is parallel to both planes. i+ j + k (C) Use parts (A) and (B) to find a vector equation for the line of intersection of the two planes,r(t) : i+: j + k NOTE: Part (C) is counted as a single question. All three components must be filled in to receive credit. There are many different correct answers to this question.
Transcribed Image Text:6 Lines Planes 10.5: Problem 1 Consider the planes 2x + 2y + 1z = 1 and 2x + 1z = 0. %3| (A) Find the unique point P on the y-axis which is on both planes. O00 (B) Find a unit vector u with positive first coordinate that is parallel to both planes. i+ j + k (C) Use parts (A) and (B) to find a vector equation for the line of intersection of the two planes,r(t) : i+: j + k NOTE: Part (C) is counted as a single question. All three components must be filled in to receive credit. There are many different correct answers to this question.
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