What is the dot product of $< 9, 1, - 1 >$ $<9,1,-1 >$ and $< 6, - 8, 2 >$ $<6,-8,2 >$ ?

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What is the dot product of $< 9, 1, - 1 >$ $<9,1,-1 >$ and $< 6, - 8, 2 >$ $<6,-8,2 >$ ?

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Answer 1 · 2016-02-02T22:54:46

$A \cdot B = 44$ $A*B=44$

Explanation:

$A = A x + A y + A z$ $A=A x+A y+A z$
$B = B x + B y + B z$ $B=B x+B y+B z$
$A \cdot B = A x \cdot B x + A y \cdot B y + A z \cdot B z$ $A*B=A x*B x+A y*B y+A z*B z$
$A = 9 x + y - z$ $A=9x + y-z$
$B = 6 x - 8 y + 2 z$ $B=6x-8y+2z$
$A \cdot B = 9 \cdot 6 - 8 \cdot 1 - 1 \cdot 2$ $A*B=9*6-8*1-1*2$
$A \cdot B = 54 - 8 - 2$ $A*B=54-8-2$
$A \cdot B = 54 - 10$ $A*B=54-10$
$A \cdot B = 44$ $A*B=44$

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What is the dot product of $< 9, 1, - 1 >$ $<9,1,-1 >$ and $< 6, - 8, 2 >$ $<6,-8,2 >$ ?

1 Answer

Explanation:

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What is the dot product of <9,1,−1><9,1,-1 > and <6,−8,2><6,-8,2 >?

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Explanation:

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What is the dot product of $< 9, 1, - 1 >$ $<9,1,-1 >$ and $< 6, - 8, 2 >$ $<6,-8,2 >$ ?