`(v*u) - (w*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...

The expression is a difference of two dot products, it is a scalar.

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

In this case

`v*u-w*v = v*u-v*w=v*(u-w) =`

`=lt-4,2gt*(lt3,3gt - lt3,-1gt)= lt-4,2gt*lt0,4gt = 8.`

This is the answer.