Triple Products

Scalar Triple Products

Scalar triple products are in the form of

$$\mathbf{a} \cdot (\mathbf{b} \times \mathbf{c})$$

Properties

$$a\cdot (b\times c) = b\cdot (c\times a)=c\cdot(a\times b)$$

Vector Triple Products

Vector triple products are in the form of

$$a\times (b\times c)$$

Properties

Memorize with “BAC-CAB” rule

$$a\times(b\times c)=b(a\cdot c)-c(a\cdot b)$$