`3u*v` Use the vectors `u = `, and `v = `, and `w = lt3, -1gt` to find the indicated quantity. State whether the result is a vector or a scalar.

`(3u)*v,` which is the same as `3*(u*v),` is a dot product of two vectors. It is a scalar.

For vectors `ltx_1,y_1gt` and `ltx_2,y_2gt` its dot product is `x_1*x_2+y_1*y_2.`

In our case it is

`(3*lt3,3gt)*lt-4,2gt = lt9,9gt*lt-4,2gt = 9*(-4)+9*2=9*(-2)=-18.`

This is the answer.