7. Let P(4, 3, –1) and Q(6, –1, 3) be two points in three-dimensional space. (a) Find the distance between P and Q. (b) Find an equation for the sphere whose center is P and for which the segment PO is a radius of the sphere. (c) The vector u has initial point P and terminal point Q. Express u both in component form and using the vectors i, j, and k.
7. Let P(4, 3, –1) and Q(6, –1, 3) be two points in three-dimensional space. (a) Find the distance between P and Q. (b) Find an equation for the sphere whose center is P and for which the segment PO is a radius of the sphere. (c) The vector u has initial point P and terminal point Q. Express u both in component form and using the vectors i, j, and k.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 47EQ
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