Dot Product - Triple Product Expansion

Triple Product Expansion

This is a very useful identity (also known as Lagrange's formula) involving the dot- and cross-products. It is written as:

which is easier to remember as "BAC minus CAB", keeping in mind which vectors are dotted together. This formula is commonly used to simplify vector calculations in physics.

Read more about this topic:  Dot Product

Famous quotes containing the words triple, product and/or expansion:

    Their martyred blood and ashes sow
    O’er all the Italian fields where still doth sway
    The triple tyrant; that from these may grow
    A hundredfold, who, having learnt thy way,
    Early may fly the Babylonian woe.
    John Milton (1608–1674)

    A gentleman opposed to their enfranchisement once said to me, “Women have never produced anything of any value to the world.” I told him the chief product of the women had been the men, and left it to him to decide whether the product was of any value.
    Anna Howard Shaw (1847–1919)

    Artistic genius is an expansion of monkey imitativeness.
    W. Winwood Reade (1838–1875)