Download Vectors Practice

Name: ______________________________
Vectors Practice
Date: ________________ Block: _________
1. Given the vectors shown below answer the following questions:
a. Vector u in component form: ________________
b. Vector v in component form: ________________
u
v
c.
u
e.
2v  u
= _________
d.
v  _________
=______________
f. Find the direction angle for u: ______________________
g. Find the direction angle for v: ______________________
h. Vector u in trig form: _____________________
i. Vector v in trig form: _____________________
j. Show the geometric sketch of the following:
i) u+v
ii) 2v+u
iii) v-u
2. Two forces, one of 120 pounds and other of 200 pounds, act on the same object at angles of
with the positive x-axis. Find the direction of the resultant of these two forces.
30 
and
 30  respectively,
______________________
3. A weight of 800 pounds is suspended from two cables as shown in the figure. What is the tension on each cable?
Tension on side u: _____
Tension on side v: _____
35
50
u
v
800 lbs
4. An airplane is flying with a bearing of S10 W at 315 mph. A wind is flowing with the bearing of N 56 E at 35 mph.
a. Find the component form of the velocity of the airplane: ______________________________
b.
Find the actual ground speed _______________ and bearing __________________of the plane.
5. A tightrope walker located at a certain point deflects the rope as indicated in the figure below. If the weight of the
tightrope walker is 150 pounds, how much tension is in each part of the slope?
4.2
3.7