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Consider the planes x – 10y – 2z = 3 and 2x – y + z =-13. Find the following. 1. The cosine of the angle between the given planes. 2. The vector projection of D onto C, where C and D are normal to the given planes, respectively. 3. (D+ C) × (2D – Ĉ) · D, where C and D are normal to the given planes, respectively. 4. A vector perpendicular to the line of intersection of the given planes.

Consider the planes x – 10y – 2z = 3 and 2x – y + z =-13. Find the following. 1. The cosine of the angle between the given planes. 2. The vector projection of D onto C, where C and D are normal to the given planes, respectively. 3. (D+ C) × (2D – Ĉ) · D, where C and D are normal to the given planes, respectively. 4. A vector perpendicular to the line of intersection of the given 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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Consider the planes x – 10y – 2z = 3 and 2x – y +z =-13. Find the following. 1. The cosine of the angle between the given planes. 2. The vector projection of D onto C, where C and D are normal to the given planes, respectively. 3. (D+ C) × (2D – Ĉ) · D, where C and D are normal to the given planes, respectively. 4. A vector perpendicular to the line of intersection of the given planes.
Transcribed Image Text:Consider the planes x – 10y – 2z = 3 and 2x – y +z =-13. Find the following. 1. The cosine of the angle between the given planes. 2. The vector projection of D onto C, where C and D are normal to the given planes, respectively. 3. (D+ C) × (2D – Ĉ) · D, where C and D are normal to the given planes, respectively. 4. A vector perpendicular to the line of intersection of the given planes.
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