Question

Let uequalsleft angle 4 comma negative 3 right angle​, vequalsleft angle negative 2 comma 5 right angle​, and wequalsleft angle 0 comma negative 6 right angle. Express 7 Bold u minus 5 Bold v plus Bold w in the form left angle a comma b right angle.

Answer 1

`<38,52>`

Explanation:

`u=<4,-3>\\v=<-2,5>\\w=<0,-6>`

We are required to express 7u-5v+w in the form <a,b>.

`7u-5v+w =7<4,-3>-5<-2,5>+<0,-6>\\=<28,-21>-<-10,25>+<0,-6>\\=<28-(-10)+0, -21-25-6>\\=<38,52>\\$Therefore:$\\7u-5v+w=<38,52>`