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Find the component form of v given its magnitude and the angle it makes with the positive x-axis. (Round your answers to four decimal places.) Ilv|| = 4, 0 = 3.4°

Find the component form of v given its magnitude and the angle it makes with the positive x-axis. (Round your answers to four decimal places.) Ilv|| = 4, 0 = 3.4°

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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Find the component form of v given its magnitude and the angle it makes with the positive x-axis. (Round your answers to four decimal places.) Ilv|| = 4, e = 3.4° Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, –1). = (0, 24) V = a = b = Use vectors to show whether or not the points form the vertices of a parallelogram. (1, 1, 3), (-4, 9, -4), (-2, 12, -11), (3, 4, –4) The given points form the vertices of a parallelogram. The given points do not form the vertices of a parallelogram. Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not unique. Enter your answer as a comma-separated list of u = (5, -4, 8) Determine whether u and v are orthogonal, parallel, or neither. (cos(0), sin(8), 8) U = (sin(0), -cos(0), 0) V = parallel orthogonal neither Find the volume of the parallelepiped with the given vertices . (0, 0, 0), (0, 4, 0), (-3, 0, 0), (-1, 1, 5), (-3, 4, 0), (–1, 5, 5), (-4, 1, 5), (-4, 5, 5)
Transcribed Image Text:Find the component form of v given its magnitude and the angle it makes with the positive x-axis. (Round your answers to four decimal places.) Ilv|| = 4, e = 3.4° Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, –1). = (0, 24) V = a = b = Use vectors to show whether or not the points form the vertices of a parallelogram. (1, 1, 3), (-4, 9, -4), (-2, 12, -11), (3, 4, –4) The given points form the vertices of a parallelogram. The given points do not form the vertices of a parallelogram. Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not unique. Enter your answer as a comma-separated list of u = (5, -4, 8) Determine whether u and v are orthogonal, parallel, or neither. (cos(0), sin(8), 8) U = (sin(0), -cos(0), 0) V = parallel orthogonal neither Find the volume of the parallelepiped with the given vertices . (0, 0, 0), (0, 4, 0), (-3, 0, 0), (-1, 1, 5), (-3, 4, 0), (–1, 5, 5), (-4, 1, 5), (-4, 5, 5)
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