Saturday, February 18, 2006

Multiplication by a Scalar - Distributive Law

When you multiply a vector by a scalar, you get another vector. This vector is in the same direction, but its length is equal to the length of the original vector, multiplied by the scalar.
    bA = b(Axi + Ayj + Azk) = bAxi + bAyj + bAzk

There exists a distributive law for multiplication by a scalar:

b(A+C) = bA+bC

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