: 6. Vector A has a magnitude of 5.00 units, and vector B has a
magnitude of 9.00 units. The two vectors make an angle of
50.0° with cach other. Find A B.
Note: In Problems 7 and 8, calculate numerical answers to
three significant figures as usual.
7. Find the scalar product of the vectors in Figure P7.7.
8. Using the definition of the scalar product, find the angles
between (a) A = 3i-2j and B = 4i-4j. (b) A= -2i + 4j
and B= 3i- 4j + 2k, and (c) A=i-2j + 2k and B =
3j + 4k.
SECTION 7.4 Work Done by a Varying Force
9. A particle is subject to a force F that varies with position
as shown in Figure P7.9. Find the work done by the force
on the particle as it moves (a) from x = 0 to x = 5.00 m,
(b) from x = 5.00 m to x = 10.0 m, and (c) from x= 10.0 m
to x = 15.0 m. (d) is the total work done by the force
over the distance x= 0 tox= 15.0 m:
10 12 14 16
Figure P7.9 Problems 9 andl 22.
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