Question

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

Answer 1

`4`

Explanation:

`"Given "ula= < x_1,y_1> " and "ulb=< x_2,y_2>`

`"then the "color(blue)"dot or scalar product"`

`ula*ulb=x_1x_2+y_1y_2`

`rArr(ulu*ulv)-(ulu*ulw)`

`=(2xx-3)+(2xx4)-[(2xx1)+(2xx-2)]`

`=-6+8-(-2)=4`