22. Three displacement vectors of a cro- quet ball are shown in Figure P3.22, where A 40.0 units, and |C (a) the resultant in unit-vector nota- 20.0 units, B 30.0 units. Find A. 45.0° tion and (b) the magnitude and direc- tion of the resultant displacement. 45.0 23. (a) Taking A = (6.00 i - 8.00 j) units, QIC B (-8.00 i + 3.00 j) units, and C = (26.0 i + 19.0 j) units, determine a Figure P3.2 and b such that a A + bB + C = 0. (b) A student has learned that a single equation cannot be solved to determine values for more than one unknown in it. How would you explain to him that both a and b can be determined from the single equation used in part (a):

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 44P: Three displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units,...
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22. Three displacement vectors of a cro-
quet ball are shown in Figure P3.22,
where A
40.0 units, and |C
(a) the resultant in unit-vector nota-
20.0 units, B
30.0 units. Find
A.
45.0°
tion and (b) the magnitude and direc-
tion of the resultant displacement.
45.0
23. (a) Taking A = (6.00 i - 8.00 j) units,
QIC
B
(-8.00 i + 3.00 j) units, and
C = (26.0 i + 19.0 j) units, determine a
Figure P3.2
and b such that a A + bB + C = 0.
(b) A student has learned that a single equation cannot be
solved to determine values for more than one unknown in
it. How would you explain to him that both a and b can be
determined from the single equation used in part (a):
Transcribed Image Text:22. Three displacement vectors of a cro- quet ball are shown in Figure P3.22, where A 40.0 units, and |C (a) the resultant in unit-vector nota- 20.0 units, B 30.0 units. Find A. 45.0° tion and (b) the magnitude and direc- tion of the resultant displacement. 45.0 23. (a) Taking A = (6.00 i - 8.00 j) units, QIC B (-8.00 i + 3.00 j) units, and C = (26.0 i + 19.0 j) units, determine a Figure P3.2 and b such that a A + bB + C = 0. (b) A student has learned that a single equation cannot be solved to determine values for more than one unknown in it. How would you explain to him that both a and b can be determined from the single equation used in part (a):
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