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sider the following coordinates and vectors, A(-2, 1, 0), B(2, -2,0), u = 3i + 2k, v = 4i + 7j+5k, C(3,5,-2) w = -6i+2j + 2k, (a) Find the vectors AB, and BC. (b) Using your answer from part (a), determine the area of the triangle with vertices B and C. (c) Find a vector which is perpendicular to both u and v. (d) Are the vectors V and w parallel, perpendicular, or neither? Justify your answer.

sider the following coordinates and vectors, A(-2, 1, 0), B(2, -2,0), u = 3i + 2k, v = 4i + 7j+5k, C(3,5,-2) w = -6i+2j + 2k, (a) Find the vectors AB, and BC. (b) Using your answer from part (a), determine the area of the triangle with vertices B and C. (c) Find a vector which is perpendicular to both u and v. (d) Are the vectors V and w parallel, perpendicular, or neither? Justify your answer.

Calculus: Early Transcendentals
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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Consider the following coordinates and vectors, A(-2, 1, 0), B(2, -2,0), v = 4i + 7j + 5k, u = 3i + 2k, C(3,5,-2) w = -6i+2j + 2k, (a) Find the vectors AB, and BC. (b) Using your answer from part (a), determine the area of the triangle with vertices A B and C. (c) Find a vector which is perpendicular to both u and v. (d) Are the vectors v and w parallel, perpendicular, or neither? Justify your answer.
Transcribed Image Text:Consider the following coordinates and vectors, A(-2, 1, 0), B(2, -2,0), v = 4i + 7j + 5k, u = 3i + 2k, C(3,5,-2) w = -6i+2j + 2k, (a) Find the vectors AB, and BC. (b) Using your answer from part (a), determine the area of the triangle with vertices A B and C. (c) Find a vector which is perpendicular to both u and v. (d) Are the vectors v and w parallel, perpendicular, or neither? Justify your answer.
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