Activity 9.4.2 Suppose u = (0, 1, 3) and v = (2,-1,0). Use the formula (9.4.1) for the following. a. Find the cross product u x v. b. Evaluate the dot products u (ux v) and v(ux v). What does this tell you about the geometric relationship among u, v, and u x v? c. Find the cross product v x i. d. Multiplication of real numbers is associative, which means, for instance, that (2.5) 32 (5-3). Is it true that the cross product of vectors is associative? For instance, is it true that (ux v) xi=ux (vx i)? e. Find the cross product u x u.
Activity 9.4.2 Suppose u = (0, 1, 3) and v = (2,-1,0). Use the formula (9.4.1) for the following. a. Find the cross product u x v. b. Evaluate the dot products u (ux v) and v(ux v). What does this tell you about the geometric relationship among u, v, and u x v? c. Find the cross product v x i. d. Multiplication of real numbers is associative, which means, for instance, that (2.5) 32 (5-3). Is it true that the cross product of vectors is associative? For instance, is it true that (ux v) xi=ux (vx i)? e. Find the cross product u x u.
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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