Answer 2 only

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
Problem 2E
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Let vector N be normal to plane x – 5y – 2z = 3, and let Ē = (3, –2,1). Find the following.
1. The cosine of the angle between N – Ē and Ē × Ñ.
2. The vector projection of Ñ – Ē onto Ē × Ñ.
3. (N – E) × (E x N).
4. A plane parallel to the given plane and containing E.
Transcribed Image Text:Let vector N be normal to plane x – 5y – 2z = 3, and let Ē = (3, –2,1). Find the following. 1. The cosine of the angle between N – Ē and Ē × Ñ. 2. The vector projection of Ñ – Ē onto Ē × Ñ. 3. (N – E) × (E x N). 4. A plane parallel to the given plane and containing E.
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