What is the dot product of $< 3, 5, - 3 >$ $<3,5,-3 >$ and $< - 3, 6, 3 >$ $<-3,6,3 >$ ?

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What is the dot product of $< 3, 5, - 3 >$ $<3,5,-3 >$ and $< - 3, 6, 3 >$ $<-3,6,3 >$ ?

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Answer 1 · 2016-03-19T15:25:02

$see animation$ $"see animation"$
$A . B = 12$ $A.B=12$

Explanation:

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$A = < 3, 5, - 3 > B = < - 3, 6, 3 >$ $A=<3,5,-3>" "B= <-3,6,3>$
$A . B = 3 \cdot (- 3) + 5 \cdot 6 + (- 3) \cdot 3$ $A.B=3*(-3)+5*6+(-3)*3$
$A . B = - 9 + 30 - 9$ $A.B=-9+30-9$
$A . B = 30 - 18$ $A.B=30-18$
$A . B = 12$ $A.B=12$

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What is the dot product of $< 3, 5, - 3 >$ $<3,5,-3 >$ and $< - 3, 6, 3 >$ $<-3,6,3 >$ ?

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Explanation:

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What is the dot product of <3,5,−3><3,5,-3 > and <−3,6,3><-3,6,3 >?

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What is the dot product of $< 3, 5, - 3 >$ $<3,5,-3 >$ and $< - 3, 6, 3 >$ $<-3,6,3 >$ ?