(3, 2, a) Calculate the magnitude of b. b) Determine whether a and bare perpendicular. c) Find the vector scalar projection of b onto a.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let ā
=
(3, 2, 1) and b = (–4, 3,−1):
a) Calculate the magnitude of b.
b) Determine whether a and b are perpendicular.
c) Find the vector scalar projection of b onto à.
d) Calculate the cross product a × b
e) Evaluate (3ã+4)·(3ả — 4b).
f) Find the angle between a and b
g) Find a unit vector to a, in opposite direction.
Transcribed Image Text:Let ā = (3, 2, 1) and b = (–4, 3,−1): a) Calculate the magnitude of b. b) Determine whether a and b are perpendicular. c) Find the vector scalar projection of b onto à. d) Calculate the cross product a × b e) Evaluate (3ã+4)·(3ả — 4b). f) Find the angle between a and b g) Find a unit vector to a, in opposite direction.
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