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?