1. Answer the following: (a) You are given a plane in space. How many distinct vectors of unit magnitude are perpen- dicular to this plane? (b) How many distinct vectors exist, all having unit magnitude, perpendicular to a given line in space? (c) If A is a nonzero vector, how many distinct scalar multiples of A will have unit magnitude?
1. Answer the following: (a) You are given a plane in space. How many distinct vectors of unit magnitude are perpen- dicular to this plane? (b) How many distinct vectors exist, all having unit magnitude, perpendicular to a given line in space? (c) If A is a nonzero vector, how many distinct scalar multiples of A will have unit magnitude?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 31EQ
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