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Section 9.4
Vectors
Scalar multiples have the following properties:
OBJECTIVE 1
Use the vectors illustrated to graph each of the following vectors:
(a) 2 b 2 (c) 2 v w v w v w u
OBJECTIVE 2
1 23,1 and 6,3 .P P
OBJECTIVE 3
If 6 2 6, 2 and 2 5 , find:
(a) (b)
v i j w i j
v w v w
OBJECTIVE 4
If 6 2 6, 2 and 2 5 , find:
(a) 5 (b) 2 3 (c)
v i j w i j
v v w v
OBJECTIVE 5
Find a unit vector in the same firection as 12 5 . v i j
OBJECTIVE 6
OBJECTIVE 7
A box of supplies that weights 1000 pounds is suspended by two cables attached to the ceiling as shown. What are the tensions on the two cables?
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