Often a vector is specified by a magnitude and a direction; for example, a rope with tension T exerts a force of magnitude T= 20 N in a direction 0 = 35° north of east. This is a good way to think of vectors; however, to calculate results with vectors, it is best to select a coordinate system and manipulate the components of the vectors in that coordinate system.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 42P: Vector B has x, y, and z components of 4.00, 6.00, and 3.00 units, respectively. Calculate (a) the...
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Often a vector is specified by a magnitude and a direction; for
example, a rope with tension T exerts a force of magnitude
T=20 N in a direction 0 = 35° north of east. This is a
good way to think of vectors; however, to calculate results
with vectors, it is best to select a coordinate system and
manipulate the components of the vectors in that coordinate
system.
B
length = aA
length b
Find the components of the vector A with length a = 1.00 and angle a=20.0 ° with respect to the x axis
Enter numerically, separated by a comma, the x component followed by the y component.
Find the components of the vector B with length b = 1.00 and angle B=20.0 ° with respect to the x axis
Enter numerically, separated by a comma, the x component followed by the y component.
Find the components of the vector C with length c = 1.00 and angle o = 35.0 °
Enter numerically, separated by a comma, the x component followed by the y component.
length =c
Transcribed Image Text:Often a vector is specified by a magnitude and a direction; for example, a rope with tension T exerts a force of magnitude T=20 N in a direction 0 = 35° north of east. This is a good way to think of vectors; however, to calculate results with vectors, it is best to select a coordinate system and manipulate the components of the vectors in that coordinate system. B length = aA length b Find the components of the vector A with length a = 1.00 and angle a=20.0 ° with respect to the x axis Enter numerically, separated by a comma, the x component followed by the y component. Find the components of the vector B with length b = 1.00 and angle B=20.0 ° with respect to the x axis Enter numerically, separated by a comma, the x component followed by the y component. Find the components of the vector C with length c = 1.00 and angle o = 35.0 ° Enter numerically, separated by a comma, the x component followed by the y component. length =c
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