What is the dot product of $< 7, - 8, 1 >$ $<7,-8,1>$ and $< 4, - 6, 3 >$ $<4,-6,3 >$ ?

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What is the dot product of $< 7, - 8, 1 >$ $<7,-8,1>$ and $< 4, - 6, 3 >$ $<4,-6,3 >$ ?

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Answer 1 · 2016-02-03T18:29:01

$A . B = 28 + 48 + 3 = 79$ $A.B=28+48+3=79$

Explanation:

$A = 7 x - 8 y + z$ $A=7x-8y+z$
$B = 4 x - 6 y + 3 z$ $B=4x-6y+3z$
$A . B = A_{x} \cdot B_{x} + A_{y} \cdot B_{y} + A_{z} \cdot B_{z}$ $A.B=A_x*B_x+A_y*B_y+A_z*B_z$
$A . B = 7 \cdot 4 + ((- 8) \cdot (- 6)) + 1 \cdot 3$ $A.B=7*4+((-8)*(-6))+1*3$
$A . B = 28 + (+ 48) + 3$ $A.B=28+(+48)+3$
$A . B = 28 + 48 + 3 = 79$ $A.B=28+48+3=79$

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What is the dot product of $< 7, - 8, 1 >$ $<7,-8,1>$ and $< 4, - 6, 3 >$ $<4,-6,3 >$ ?

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Explanation:

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What is the dot product of <7,−8,1><7,-8,1> and <4,−6,3><4,-6,3 >?

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Explanation:

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What is the dot product of $< 7, - 8, 1 >$ $<7,-8,1>$ and $< 4, - 6, 3 >$ $<4,-6,3 >$ ?