Question

Given the vectors `u=<2,2>`, `v=<-3,4>`, and `w=<1,-2>`, how do you find `(v*u)w`?

Answer 1

`(v*u)w = <2,-4>`

Explanation:

As `u= <2,2>` and `v= <-3,4>`,

their dot product `v*u=[(-3)xx2+4xx2]=[-6+8]=2`,, which is a scalar.

Hence as `w= <1,-2>`, `(v*u)w` is a product of a scalar and vector and hence a vector and is given by

`(v*u)w=2<1,-2> = <2,-4>`