What is the dot product of $< - 4, - 3, 8 >$ $<-4,-3,8 >$ and $< 3, - 1, 7 >$ $<3,-1,7 >$ ?

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Answer 1 · 2016-02-20T18:20:09

$\to a . \to b$ $veca.vecb$ = $47$ $47$

We know,
$\to a . \to b$ $veca.vecb$ = $a_{x} . b_{x} + a_{y} . b_{y} + a_{Z} . b_{z}$ $a_x.b_x+a_y.b_y+a_Z.b_z$

= $(- 4) \cdot 3 + (- 3) \cdot (- 1) + 8 \cdot 7$ $(-4) · 3 + (-3) · (-1) + 8 · 7$

= $- 12 + 3 + 56$ $-12 + 3 + 56$

=47

What is the dot product of <−4,−3,8><-4,-3,8 > and <3,−1,7><3,-1,7 >?