Transcript Section 11.4

Section 11.4
Definition of Cross Product of
Two Vectors in Space
Or you can think of it as the determinant of
the 3x3 matrix
i j l
u1 u2 u3
v1 v2 v3
One way to quickly find this
determinant
i
j
k
i
j
u1 u2
v1 v2
u3
v3
u1 u2
v1 v2
Form products along the diagonals from left
to right and add, then subtract the
diagonal products from right to left.
Theorem 11.7 Algebraic Properties
of the Cross Product
Theorem 11.8 Geometric Properties
of the Cross Product
Theorem 11.9 The Triple Scalar
Product
Theorem 11.10
Geometric
Property of Triple
Scalar Product
and Figure 11.41