If A = (1, 2, 4) and A + B = (3, 1, -2), what is B ? Explain.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 35EQ
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31. If A = (1, 2, 4) and A + B = (3, 1, –2), what is B ? Explain.
32. A triangle has sides formed by the vectors PA = (2, 7, 3) and PB = (6, 2, 2). The point
P= (1, 3, 2). Determine the coordinates of the vertices.
33. Do the vectors (2, 0, 1), (–2, 0, 0), and (2, 3, 0) lie on the same plane? Explain your reasoning.
Transcribed Image Text:31. If A = (1, 2, 4) and A + B = (3, 1, –2), what is B ? Explain. 32. A triangle has sides formed by the vectors PA = (2, 7, 3) and PB = (6, 2, 2). The point P= (1, 3, 2). Determine the coordinates of the vertices. 33. Do the vectors (2, 0, 1), (–2, 0, 0), and (2, 3, 0) lie on the same plane? Explain your reasoning.
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