What is the cross product of $[3, 2, 5]$ $[3,2, 5]$ and $[0, 8, 5]$ $[0,8,5]$ ?

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Answer 1 · 2015-12-08T21:19:40

$= - 30 ˆ i - 15 ˆ j + 24 ˆ k$ $=-30hati-15hatj+24hatk$

In 3 dimensions, as these vectors are, we may use a determinant of a matrix system as follows to evaluate the cross product :

$(3,2,5)xx(0,8,5)=|(hati,hatj,hatk),(3,2,5),(0,8,5)|$

$=(10-40)hati-(15-0)hatj+(24-0)hatk$

$=-30hati-15hatj+24hatk$

What is the cross product of [3,2, 5][3,2,5][3,2, 5] and [0,8,5] [0,8,5][0,8,5] ?