The vector n is perpendicular to the plane P1. The vectorv is parallel to the line L.(a)

Chapter 17, Problem 81

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The vector n is perpendicular to the plane P1. The vectorv is parallel to the line L.(a) If n v = 0, what does this tell you about the directionsof P1 and L? (Are they parallel? Perpendicular?Or is it impossible to tell?)(b) Suppose n v = 0 . The plane P2 has normaln v . What can you say about the directions of(i) P1 and P2? (ii) L and P2?

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