Cross Product

I have a concept question hopefully you guys can help me with. I was asked on a recent exam to find 3 other solutions for vector A that will make the statement true.

j x A = 2i + 3k

Since Vector <2, 0 , 3> is shown in the picture below, I used the right hand rule and curled towards x axis so that my thumb points inwards. From what I learned, this should mean that

Vector A can be

i,<2,0,0>,<3,0,0> for the statement to be true right?

Recall that vector A must be perpendicular to 2i+3k.

Quote:

---

Originally Posted by Plato

Recall that vector A must be perpendicular to 2i+3k.

---

mMmMm...... I thought it was right to answer the question the way I did since whatever I cross in the xy plane from j, the resulting vector would point inwards which would be parallel to the vector <2,0,3>. Since it is parallel, whatever other vector I chose would just be a scalar multiple of it which does make the statement true....right?

The cross product of two vectors is perpendicular of each of them.
.