This preview shows page 1. Sign up to view the full content.
22
77 m
( 3.2 m)
8.2 m.
d
⊥
=−
−=
This gives the magnitude of the perpendicular component (and is consistent with what
one would get using Eq. 327), but if more information (such as the direction, or a full
specification in terms of unit vectors) is sought then more computation is needed.
54. The three vectors are
1
2
3
ˆˆ
ˆ
4.0i 5.0j 6.0k
ˆˆˆ
1.0i 2.0j+3.0k
4.0i 3.0j+2.0k
d
d
d
=+
−
+
G
G
G
(a)
123
ˆ
(9.0 m)i (6.0 m)j ( 7.0 m)k
rdd d
=−+=
+
+
−
GGG
G
.
(b) The magnitude of
r
→
is
2
 
(9.0 m)
(6.0 m)
( 7.0 m)
12.9 m
r
+
−
=
G
.
The
angle between
r
G
and the
z
axis is given by
ˆ
k
7.0 m
cos
0.543
r
r
θ
⋅−
==
=
−
G
G
which implies
123 .
=°
(c) The component of
1
d
G
along the direction of
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics

Click to edit the document details