Hi can someone help me calculate the volume of a parallelepiped constructed with the following vectors:
a = i + j - k
b = i - j + k
c = -i + j + k
Thanks!

Question

anonymous · Answer

I have the answer if anyone needs it .. I just don't know how to solve it

parthkohli · Answer

OK, a little cheating here, but I Googled the formula associated with this.

anonymous · Answer

What is it ?

anonymous · Answer

I'm not sure but I thought it was base x side x height

parthkohli · Answer

HINT: it is something to do with the area of a face (which is the cross-product) times the height.

anonymous · Answer

So i find the vectors of a b and c and multiply them ?

parthkohli · Answer

Not really.  Were you taught anything about dot-product and cross-product?

anonymous · Answer

Not really .. the teacher mostly used vectors to solve the equations.. but then .. I do a x b x c like this?
i   j   k
1 1 -1
1 -1 1
-1 1 1
And multiply ?