r 'B' points at an angle of 52.5° above the positive x- Two position vectors lie in a plane. The first, vector A, points at an angle of 20° below the positive x-axis and has a magnitude of 45.5 m. The second, vector r axis and has a magnitude of 75 m. (b) What is the magnitude and direction of vector r? Give the direction as an angle measured counterclockwise from the positive x-axis? X magnitude How do you add vectors using components? How do you calculate vector components using trigonometric relations? Be careful of the signs of the components; check them against the directions of the vectors. m direction X Draw the resultant vector based on its components. In which quadrant does it lie? What trigonometric relations will allow you to find the direction? (counterclockwise from the +x-axis)

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter3: Vectors
Section: Chapter Questions
Problem 16PQ: Vector A has a magnitude of 4.50 m and makes an angle of 64.0 with the positive x axis. Vector B,...
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r
'B'
points at an angle of 52.5° above the positive x-
Two position vectors lie in a plane. The first, vector A, points at an angle of 20° below the positive x-axis and has a magnitude of 45.5 m. The second, vector r
axis and has a magnitude of 75 m.
Transcribed Image Text:r 'B' points at an angle of 52.5° above the positive x- Two position vectors lie in a plane. The first, vector A, points at an angle of 20° below the positive x-axis and has a magnitude of 45.5 m. The second, vector r axis and has a magnitude of 75 m.
(b) What is the magnitude and direction of vector r? Give the direction as an angle measured counterclockwise from the positive x-axis?
X
magnitude
How do you add vectors using components? How do you calculate vector components using trigonometric relations? Be careful of the signs of the components; check them against the
directions of the vectors. m
direction
X
Draw the resultant vector based on its components. In which quadrant does it lie? What trigonometric relations will allow you to find the direction? (counterclockwise from the +x-axis)
Transcribed Image Text:(b) What is the magnitude and direction of vector r? Give the direction as an angle measured counterclockwise from the positive x-axis? X magnitude How do you add vectors using components? How do you calculate vector components using trigonometric relations? Be careful of the signs of the components; check them against the directions of the vectors. m direction X Draw the resultant vector based on its components. In which quadrant does it lie? What trigonometric relations will allow you to find the direction? (counterclockwise from the +x-axis)
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