12. Drawing a shows a displacement vector A (450.0 m along the -y axis). In this x, y coordinate system the scalar components are A, = 0 m and A, = -450.0 m. Suppose that the coordinate system is rotated counterclockwise by 35.0°, but the magnitude (450.0 m) and direction of vector A remain unchanged, as in drawing b. What are the scalar components, A, and A,, of the vector A in the rotated x', y' coordinate system? (a) A, = -369 m and A, = -258 m (b) A, = +369 m and A, = -258 m (c) A = +258 m and A, = +369 m (d) A, = +258 m and A, = -369 m (e) A, = -258 m and A, = - 369 m +y A 35.0° (a) (b)

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 50P: Consider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component...
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12. Drawing a shows a displacement vector A (450.0 m along the -y axis).
In this x, y coordinate system the scalar components are A, = 0 m
and A, = -450.0 m. Suppose that the coordinate system is rotated
counterclockwise by 35.0°, but the magnitude (450.0 m) and direction
of vector A remain unchanged, as in drawing b. What are the scalar
components, A, and A,, of the vector A in the rotated x', y' coordinate
system?
(a) A, = -369 m and A, = -258 m
(b) A, = +369 m and A, = -258 m
(c) A = +258 m and A, = +369 m
(d) A, = +258 m and A, = -369 m
(e) A, = -258 m and A, = - 369 m
+y
A
35.0°
(a)
(b)
Transcribed Image Text:12. Drawing a shows a displacement vector A (450.0 m along the -y axis). In this x, y coordinate system the scalar components are A, = 0 m and A, = -450.0 m. Suppose that the coordinate system is rotated counterclockwise by 35.0°, but the magnitude (450.0 m) and direction of vector A remain unchanged, as in drawing b. What are the scalar components, A, and A,, of the vector A in the rotated x', y' coordinate system? (a) A, = -369 m and A, = -258 m (b) A, = +369 m and A, = -258 m (c) A = +258 m and A, = +369 m (d) A, = +258 m and A, = -369 m (e) A, = -258 m and A, = - 369 m +y A 35.0° (a) (b)
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