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
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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9c52abc-bd32-4820-be8a-3f4383635c50%2F2e751944-93a4-4cdb-8cba-818fe3cd4668%2Fw5e7n1d_processed.jpeg&w=3840&q=75)
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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