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## Problem 4.10b : Multiplication by a scalar

Let's say you multiply a given vector
by a given scalar *a*. Call the resulting vector
.
Prove that the magnitude of
is
related to the magnitude of
by :

where |a| is the absolute
value of *a*.

My solution

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Zig Herzog, hgn@psu.edu
Last modified : Thu Jun 19, 1997