Hello!

I've a math problem I don't know really how to solve.

The question follows:

Let A be a linear map in the room and V1 and V1 transforms on themselves and V3 transforms on the null vector.

You also know V3 is orthogonal to both V1 and V2.

a) What is this kind of transformation called?

b) Determine matrix A to this transformation if : V1=(1,3,10) V2=(2,2,11) V3=(?,?,?)

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On b, I know how to get V3.

V1xV2 = V3

which is: 13e1+9e2-4e3

V3 = (13,9,-4)

Thanx for any help! I'm really stuck with this.