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

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Answer 1 · 2016-11-27T17:41:57

$A \cdot B = 11$ $A*B= 11$

$A < A_{x}, A_{y}, A_{z} >$ $A < A_x,A_y,A_z >$

$B < B_{x}, B_{y}, B_{z} >$ $B < B_x,B_y,B_z >$

$A \cdot B = < A_{x} \cdot B_{x} + A_{y} \cdot B_{y} + A_{z} \cdot B_{z} >$ $A*B= < A_x*B_x+A_y*B_y+A_z*B_z >$

$A < 8, 8, 1 >$ $A < 8,8,1 >$

$B < - 1, 2, 3 >$ $B < -1,2,3 >$

$A \cdot B = < (8 \cdot (- 1) + 8 \cdot 2 + 1 \cdot 3 >$ $A*B =< (8*(-1)+8*2 +1*3>$

$A \cdot B = < - 8 + 16 + 3 >$ $A*B= <-8+16+3 >$

$A \cdot B = 11$ $A*B=11$

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