1.22. For the vectors A and B Figure E1.2 Fig. E1.22, use a scale drawing to find the magnitude and direction of (a) the vector sum A + B and (b) the vector difference A - B. Use your answers to find the magnitude and direction of (c) - A - B and (d) B-A. (See also Exercise 1.29 for a different approach.) 1.23 A spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a di- rection 45° east of south, and then 280 m at 30° east of north. After a fourth displacement, she finds her- Ď (10.0 m) 25.0° C (12.0 m) 53.0° B (15.0 m) 30.0° 0 X A (8.00 m) the mag-

1.22. For the vectors A and B Figure E1.2 Fig. E1.22, use a scale drawing to find the magnitude and direction of (a) the vector sum A + B and (b) the vector difference A - B. Use your answers to find the magnitude and direction of (c) - A - B and (d) B-A. (See also Exercise 1.29 for a different approach.) 1.23 A spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a di- rection 45° east of south, and then 280 m at 30° east of north. After a fourth displacement, she finds her- Ď (10.0 m) 25.0° C (12.0 m) 53.0° B (15.0 m) 30.0° 0 X A (8.00 m) the mag-

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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Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

shown in Fig.
resultant displacement by
1.28 for a different approach.)
Figure E1.21
2.6 km
START
800
4.0 km
STOP
3.1 km
45°
1.22. For the vectors A and B Figure E1.22
Fig. E1.22, use a scale drawing
to find the magnitude and direction
of (a) the vector sum A + B and (b)
the vector difference A - B. Use
your answers to find the magnitude
and direction of (c) - A - B and
(d) B-A. (See also Exercise 1.29
for a different approach.)
1.23
A spelunker is surveying
a cave. She follows a passage 180
m straight west, then 210 m in a di-
rection 45° east of south, and then
280 m at 30° east of north. After a
fourth displacement, she finds her-
self back where she started. Use a scale drawing to determine the mag-
nitude and direction of the fourth displacement. (See also Problem 1.57
for a different approach.)
W-E
Ď (10.0 m)
25.0°
Ć (12.0 m)
y
53.00
B (15.0 m)
30.0°
0
X
A (8.00 m)
Section 1.8 Components of Vectors
1.24 Let be the angle that the vector A makes with the +x-
axis, measured counterclockwise from that axis. Find angle for a
vector that has these components: (a) A, = 2.00 m, Ay = -1.00 m;
(b) A = 2.00 m, Ay = 1.00 m; (c) Ax = -2.00 m, Ay
(d) Ax = -2.00 m, Ay = -1.00 m.
1.25. Compute the x- and y-components of the vectors A, B, C, and
= 1.00 m;
D in Fig. E1.22.

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