Question

Find u * v and show that it is orthogonal to both u and v?

u=6k
v=-i+3j+k

Answer 1

Find the determinant of:\[
\left|\begin{matrix}
\mathbf{i}&\mathbf{j}&\mathbf{k}\\
0&0&6\\
-1&3&1
\end{matrix}\right|
\]

Answer 2

Wait... is that a dot or a cross between u and v?

Answer 3

It has to be a cross. The dot product isn't a vector.

Answer 4

a dot

Answer 5

The cross product of two vectors is orthogonal to the two vectors. The dot product of two vectors is not a vector at all. The question doesn't make sense unless it's referring to the cross product.

Answer 6

i misread that...

Answer 7

uxv is the vector that's normal to both u and v....

Answer 8

**orthagonal