Vector cross product?

Question

My math book shows an example of vector cross products:
[1, 3, 4] x [2, -5, 8] = [4, -16, 10]

When I looked at it the answer didn't really make sense to me so I worked it out on paper and I got:
[44, 0, -11]

I thought, hmm....I wonder what I'm doing wrong so I punched it into my calculator and it gave the same answer as what I got.

What did I do wrong?

Here is how my book is working it out:
[1, 3, 4] x [2, -5, 8] = [(3)(8)-(-4)(-5), (-4)(2)-(1)(8), (1)(-5)-(3)(2)] = [4, -16, 10]

I'm completely lost here
Please help!

Thanks in advance

Answer 1

Your working is correct, and so is your answer. The book is wrong.

Answer 2

It seems like you're working it out with a -4 instead of a 4. We have:
[1,3,4] X [2,-5,8] = [ 3*8+4*5, 4*2 - 1*8, 1*-5-3*2] = [44,0,11].

(1)(-5)-(3)(2) = -11, not 10.

HTH,
Steve

Answer 3

enable the vectors have aspects alongside x, y, and z such that vector a = a x + by ability of + cz the place x, y, and z are unit vectors alongside those axes and b = dx + ey + fz the go product is then the determinant of x y z a b c d e f protecting x, y, and z as warning signs and warning signs of the course

Answer 4

I agree with Dr D. Your work is correct.