`(3w*v)u` 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.

`3w*v` is the dot product of two vectors, i.e. a scalar. `(3w*v)*u` is the product of this scalar and a vector, so it is a vector.

`3w*v= (3*lt3,-1gt)*lt-4,2gt = lt9,-3gt*lt-4,2gt = 9*(-4)+(-3)*2=-42.`

And `(3w*v)*u=(-42)*lt3,3gt = lt-126,-126gt.`

This is the answer.