Figure 13.34 shows that, given three vectors u , v , andw , the sum of the components of
Chapter 13, Problem 66(choose chapter or problem)
Figure 13.34 shows that, given three vectors u , v , andw , the sum of the components of v and w in the directionof u is the component of v + w in the direction ofu . (Although the figure is drawn in two dimensions, thisresult is also true in three dimensions.) Use this figure toexplain why the geometric definition of the dot productsatisfies (v + w ) u = v u + w u .
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