Scalar Multiplication
The product of a number, k, by a vector
is another vector:
In the same direction of
if k is positive.
In the opposite direction of
if k is negative.
Of magintude ![]()

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Example
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Properties of Scalar Multiplication
Associative.
k · (k' ·
) = (k · k') ·
Right distributivity.
k · (
+
) = k ·
+ k ·
Left distributivity.
(k + k') ·
= k ·
+ k' · ![]()
Multiplicative Identity.
1 ·
=