What is the cross product of $[- 3, 0, 1]$ $[-3,0,1]$ and $[0, 1, 2]$ $[0,1,2]$ ?

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What is the cross product of $[- 3, 0, 1]$ $[-3,0,1]$ and $[0, 1, 2]$ $[0,1,2]$ ?

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Answer 1 · 2016-02-15T08:38:11

$[- 3, 0, 1] X [0, 1, 2] = [- 1, - 9, - 3]$ $[-3,0,1] X [0,1,2]=[-1,-9,-3]$

Explanation:

$A = [a, b, c]$ $A= [ a,b,c]$
$B = [d, e, f]$ $B= [ d,e,f ]$
$A X B = [b \cdot f - c \cdot e, a \cdot f - c \cdot d, a \cdot e - b \cdot d]$ $A X B= [ b*f-c*e , a*f-c*d , a*e-b*d ]$
$[- 3, 0, 1] X [0, 1, 2] = (0 \cdot 2 - 1 \cdot 1), (- 3 \cdot 3 - 1.0), (- 3 \cdot 1 - 0 \cdot 0)$ $[-3,0,1] X [0,1,2]=(0*2-1*1),(-3*3-1.0),(-3*1-0*0)$
$[- 3, 0, 1] X [0, 1, 2] = [- 1, - 9, - 3]$ $[-3,0,1] X [0,1,2]=[-1,-9,-3]$

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What is the cross product of $[- 3, 0, 1]$ $[-3,0,1]$ and $[0, 1, 2]$ $[0,1,2]$ ?

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