Homework 1
1-2.Given the
two
vectors A
==
-
4i
and
li
==
+ +
i,
find the magnitudes and
made
with
the
x,
y,
and
z
axes
for
A+
Ei
and A-
Ei.
III
A+
li
:::::
(2 +
6)x
+ +
5)9
+ +
l)i
:::::
8x
+
29
-
3i
(A +
B)x
:::::
8,
(A +
==
2,
(A
+
Bh
=
-3
IA
+
Eil
::::
==
JB2 +
22
+
(-3)2
==
m
_
-1
( 8 )
""
°
-
cos
m -24.26
"" 76.83°
(
1-+
....
1 -
cos
;:;::
110°
A+B
III
A-
li
==
(2 -
6)x
+
(-3
-
5):9
+
(-4
-
l)i
==
-4x
-
(A-B)x
= (A
IA
-
lil
.-----'-----
:::::
a
==
((A
-
B)x)
1130
IA-Eil
-
f3
==
((A
-
B)y)
(
-8
)
IA
-
lil
=
"'105
"" 141.3°
y:::::
C05-
11
((~
~
~z)
:::::
C05-
""
119.2°
a
==
((A
+
B)x)
IA
+
lil
2
+
(A
+
B)z)
_
-1
Y =
~
...
,..
A A
......
1-4.Given the
two
vectors A
==
x + 2y + 3z and B +
62,
find the angle between them.
Find
the component
of
Ain the direction
of
li.
A·
li
= (1'"
4)
+
'"
(-5))
+ (3
'"
6)
= 4
-10
+
18
= 12
IAI
:::::
=
ill,
llil
==
==
m
A.li)
(}
= (
IAIIBI
::= 68.56°
""
~..
..
A·li
comPii(
A)
:::::
IA
I
cos
(}
==
IA
I
>I<
IAIIBI
==
""
1.368
A·
li
12
Page
1
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