25
=
i
•
|v| = length of second vector
•
?
is the angle between two vectors
i
j
k
u
x
v
=
u
x
u
y
u
z
v
x
v
y
v
z
u
y
u
z
v
y
v
z
-
j
u
x
u
z
v
x
v
z
u
x
u
y
+
k
v
x
v
y
=
i( u
y
v
z
–
u
z
v
y
)
-
j( u
x
v
z
–
u
z
v
x
)
+
k( u
x
v
y
–
u
y
v
x
)
Example:
Vector A =
1
2
3
Vector B =
3
2
1
A
x
B
=
i
j
k
1
2
3
3
2
1
2
3
=
i
2
1
1
3
-
j
3
1
1
2
+
k
3
2
= i ((2x1) – (3x2)) - j((1x1)-(3x3)) + k((1x2)-(2x3))
= i(2-6) - j(1-9) + k(2-6)
= i(-4) - j(-8) + k(-4)
= [-4, 8 ,-4]
T
=
-4
8
-4
 |