What is the dot product of $< 8, 4, 1 >$ $<8,4,1>$ and $< 4, - 2, 3 >$ $<4,-2,3 >$ ?

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What is the dot product of $< 8, 4, 1 >$ $<8,4,1>$ and $< 4, - 2, 3 >$ $<4,-2,3 >$ ?

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Answer 1 · 2016-02-24T15:08:59

$< 32, - 8, 3 >$ $<32,-8,3>$

Explanation:

$A = (A_{x}, A_{Y}, A_{z})$ $A=(A_x,A_Y,A_z)$
$B = (B_{x}, B_{y}, B_{z})$ $B=(B_x,B_y,B_z)$
$A \cdot B = (A_{x} \cdot B_{x}, A_{y} \cdot B_{y}, A_{z} \cdot B_{z})$ $A*B=(A_x*B_x,A_y*B_y,A_z*B_z)$
$< 8, 4, 1 > \cdot < 4, - 2, 3 > = < 8 \cdot 4, - 4 \cdot 2, 1 \cdot 3 >$ $<8,4,1>*<4,-2,3> = <8*4,-4*2,1*3>$
$< 32, - 8, 3 >$ $<32,-8,3>$

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What is the dot product of $< 8, 4, 1 >$ $<8,4,1>$ and $< 4, - 2, 3 >$ $<4,-2,3 >$ ?

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Explanation:

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What is the dot product of <8,4,1><8,4,1><8,4,1> and <4,-2,3 ><4,−2,3><4,-2,3 >?

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What is the dot product of $< 8, 4, 1 >$ $<8,4,1>$ and $< 4, - 2, 3 >$ $<4,-2,3 >$ ?