Given points A(8, –5, 4) and B(-2, 3,2), find: (a) the distance from A to B; (b) a unit vector directed from A towards B; (c) a unit vector directed from the origin toward the midpoint of the line AB; (d) the coordinates of the point on the line connecting A to B at which the line intersects the plane z = 3.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 13CR
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Vector Operation and Vector Fields

Given points A(8, –5, 4) and B(-2, 3,2), find: (a) the distance from A to
B; (b) a unit vector directed from A towards B; (c) a unit vector directed
from the origin toward the midpoint of the line AB; (d) the coordinates
of the point on the line connecting A to B at which the line intersects the
plane z = 3.
Transcribed Image Text:Given points A(8, –5, 4) and B(-2, 3,2), find: (a) the distance from A to B; (b) a unit vector directed from A towards B; (c) a unit vector directed from the origin toward the midpoint of the line AB; (d) the coordinates of the point on the line connecting A to B at which the line intersects the plane z = 3.
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