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5. Consider the planes x + y - z = 1 and x + y - 2z = 1. (a) Find the exact acute angle between the two planes. Note that an exact answer will most likely be left in the form of arccos(-). If you find yourself using a calculator and rounding digits, you did not find the exact acute angle. (b) Find the vector equation for the line of intersection of the two planes.

5. Consider the planes x + y - z = 1 and x + y - 2z = 1. (a) Find the exact acute angle between the two planes. Note that an exact answer will most likely be left in the form of arccos(-). If you find yourself using a calculator and rounding digits, you did not find the exact acute angle. (b) Find the vector equation for the line of intersection of the two planes.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. Consider the planes x + y − z = 1 and x + y − 2z = 1. (a) Find the exact acute angle between the two planes. Note that an exact answer will most likely be left in the form of arccos(.). If you find yourself using a calculator and rounding digits, you did not find the exact acute angle. (b) Find the vector equation for the line of intersection of the two planes.
Transcribed Image Text:5. Consider the planes x + y − z = 1 and x + y − 2z = 1. (a) Find the exact acute angle between the two planes. Note that an exact answer will most likely be left in the form of arccos(.). If you find yourself using a calculator and rounding digits, you did not find the exact acute angle. (b) Find the vector equation for the line of intersection of the two planes.
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