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 53.5 m. The second, vector B, points at an angle of 42.5° above the positive x-axis and has a magnitude of 75 m. (a) Choose the diagram below that is correct a graphical representation of A + B Α +y +y +y direction IB 12 ŤA rc fc FB +X +X +y 15 ŤA ŤA rc rc FB +X X What are the rules for graphical vector addition? How should the vectors be placed? How do you represent the resultant given the placement of individual vectors? (b) What is the magnitude and direction of vector ? Give the direction as an angle measured counterclockwise from the positive x-axis? magnitude 13.8933 x 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 (counterclockwise from the +x-axis)
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 53.5 m. The second, vector B, points at an angle of 42.5° above the positive x-axis and has a magnitude of 75 m. (a) Choose the diagram below that is correct a graphical representation of A + B Α +y +y +y direction IB 12 ŤA rc fc FB +X +X +y 15 ŤA ŤA rc rc FB +X X What are the rules for graphical vector addition? How should the vectors be placed? How do you represent the resultant given the placement of individual vectors? (b) What is the magnitude and direction of vector ? Give the direction as an angle measured counterclockwise from the positive x-axis? magnitude 13.8933 x 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 (counterclockwise from the +x-axis)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![Two position vectors lie in a plane. The first, vector rA, points at an angle of 20° below the positive x-axis and has a magnitude of 53.5 m.
The second, vector, points at an angle of 42.5° above the positive x-axis and has a magnitude of 75 m.
-
(a) Choose the diagram below that is correct a graphical representation of rA + B
+y
+y
magnitude
+y
direction
FB
ŤA
ŤA
rc
rc
IB
+X
+X
+y
ŤA
FB
ŤA
fc
FC
1
+X
What are the rules for graphical vector addition? How should the vectors be placed? How do you represent the resultant given the
placement of individual vectors? (b) What is the magnitude and direction of vector ? Give the direction as an angle measured
counterclockwise from the positive x-axis?
+X
13.8933
X
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
° (counterclockwise from the +x-axis)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92524007-eb79-4716-97da-6681fe12a787%2Fd7b38af9-e370-42e7-b64a-11abf3a18d37%2Fwhy85qf_processed.png&w=3840&q=75)
Transcribed Image Text:Two position vectors lie in a plane. The first, vector rA, points at an angle of 20° below the positive x-axis and has a magnitude of 53.5 m.
The second, vector, points at an angle of 42.5° above the positive x-axis and has a magnitude of 75 m.
-
(a) Choose the diagram below that is correct a graphical representation of rA + B
+y
+y
magnitude
+y
direction
FB
ŤA
ŤA
rc
rc
IB
+X
+X
+y
ŤA
FB
ŤA
fc
FC
1
+X
What are the rules for graphical vector addition? How should the vectors be placed? How do you represent the resultant given the
placement of individual vectors? (b) What is the magnitude and direction of vector ? Give the direction as an angle measured
counterclockwise from the positive x-axis?
+X
13.8933
X
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
° (counterclockwise from the +x-axis)
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