What is the dot product of $< 7, - 3, 9 >$ $<7,-3, 9 >$ and $< 4, 2, - 9 >$ $<4,2,-9 >$ ?

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What is the dot product of $< 7, - 3, 9 >$ $<7,-3, 9 >$ and $< 4, 2, - 9 >$ $<4,2,-9 >$ ?

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Answer 1 · 2016-07-27T21:04:35

$A \cdot B = - 59$ $A*B=-59$

Explanation:

$A = (A_{x}, A_{y}, A_{z})$ $A= (A_x,A_y,A_z )$

$B = (B_{x}, B_{y}, B_{z})$ $B=(B_x,B_y,B_z )$

$A . B = (A_{x} \cdot B_{x} + A_{y} \cdot B_{y} + A_{z} \cdot B_{z}) (Dot product of A and B)$ $A.B=(A_x*B_x+A_y*B_y+A_z*B_z)" (Dot product of A and B)"$

$A = < 7, - 3, 9 >; B = < 4, 2, - 9 >$ $A=<7,-3,9>" ; "B= <4,2,-9>$

$A_{x} = 7; A_{y} = - 3; A_{z} = 9$ $A_x=7" ; "A_y=-3" ; "A_z=9$

$B_{x} = 4; B_{y} = 2; B_{z} = - 9$ $B_x=4" ; "B_y=2" ; "B_z=-9$

$A \cdot B = (7 \cdot 4 + (- 3) \cdot 2 + (- 9) \cdot 9)$ $A*B=(7*4+(-3)*2+(-9)*9)$

$A \cdot B = (28 - 6 - 81)$ $A*B=(28-6-81)$

$A \cdot B = 28 - 87$ $A*B=28-87$

$A \cdot B = - 59$ $A*B=-59$

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What is the dot product of $< 7, - 3, 9 >$ $<7,-3, 9 >$ and $< 4, 2, - 9 >$ $<4,2,-9 >$ ?

1 Answer

Explanation:

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What is the dot product of <7,-3, 9 ><7,−3,9><7,-3, 9 > and <4,2,-9 ><4,2,−9><4,2,-9 >?

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What is the dot product of $< 7, - 3, 9 >$ $<7,-3, 9 >$ and $< 4, 2, - 9 >$ $<4,2,-9 >$ ?