What is the cross product of $[3,2, 5]$ and $[3, 1, 0]$ ?

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Answer 1 · 2018-04-23T05:14:38

$[-5,15,-3]$ .

Let, $vecx=[3,2,5]=3i+2j+5k, and,$ ,

$vecy=[3,1,0]=3i+j$ .

Then, $vecx xx vecy=|(i,j,k),(3,2,5),(3,1,0)|$

$=(0-5)i-(0-15)j+(3-6)k$ .

$rArr vecx xx vecy=-5i+15j-3k=[-5,15,-3]$ .

What is the cross product of [3,2, 5][3,2, 5] and [3, 1, 0] [3, 1, 0] ?