x
y
z
θ
B
C
A
BC
A cos θ
Scalar Triple Product
Volume of parallelopiped = A cos θBC
= A · (B × C)
B
C
A
B
C
A
D
BCD= Perpendicular to plane PQRS
P
Q
RS
E F
GH
U
Let D and A be in plane EFGHEFGH is Perpendicular to PQRS
U=A × D = A × ( B × C )
A × ( B × C ) is in the plane of B and C
O
O
Vector Triple Product