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0593_C02_fm Page 45 Monday, May 6, 2002 1:46 PM
Review of Vector Algebra 45
Problems
Section 2.3 Vector Addition
P2.3.1: Given the vectors A, B, C, and D as shown in Figure P2.3.1, let the magnitudes of
these vectors be:
A = 8 lb, B = 6 lb, C = 12 lb, D = 5 lb
Find the magnitudes of the following sums:
a. A + B
b. B + A
c. 2A + 2B
d. A – B
e. A + C
f. B + C
g. A + B + C
h. C + D
i. B + D
j. A + B + C + D
k. 3A – 2B + C – 4D
l. D – 4A + B
B C
45° D
45°
FIGURE P2.3.1
A set of four vectors. A
Section 2.4 Vector Components
P2.4.1: Given the unit vectors i and j and the vectors A and B as shown in Figure P2.4.1,
let the magnitudes of A and B be 10 N and 15 N, respectively. Express A and B in terms
of i and j.
P2.4.2: See Problem P2.4.1. Let C be the resultant (or sum) of A and B.
a. Express C in terms of the unit vectors i and j.
b. Find the magnitude of C.
