Cross Product in 3D
A
=
B
×
C
with
B
and
C
constrained to the x-z plane
Vector
B
Magnitude:
Angle (° in x-z plane, from +x):
Vector
C
Magnitude:
Angle (° in x-z plane, from +x):
Result
A
=
B
×
C
Right-hand rule:
curl fingers from
B
toward
C
in the x-z plane.
Thumb gives the direction of
A
=
B
×
C
.
The magnitude of the cross product is the area of the parallelogram formed by
B
and
C
:
|
A
| = |
B
×
C
| = |
B
||
C
|sinθ
.
Vector Components
Cross Product Information