1. The vectors should be parallel to achieve a resultant 7 m long (the unprimed case shown below), antipar-
allel (in opposite directions) to achieve a resultant 1 m long (primed case shown), and perpendicular to
achieve a resultant √32+4
2= 5 m long (the double-primed case shown). In each sketch, the vectors
are shown in a “head-to-tail” sketch but the resultant is not shown. The resultant would be a straight
line drawn from beginning to end; the beginning is indicated by A(with or without primes, as the case
may be) and the end is indicated by B.
b
A
-
b
-
B
b
A
-
b
B
b
A
-
b
6
B