Finding coordinates of a vector, using vector methods.

48 Views Asked by At

enter image description here

My working out:

Vector AB = b - a

let b be = xi + yj

Vector AB = (x + 2)i +(y - 6)j

Vector AC = c - a

      = (1 - (-2))i + (3-6)j

      = 3i - 3j

I know to prove vector AB and vector AC are perpendicular to each other, their scalar product has to be zero so I have found 3(x + 2) - 3(y - 6) = 0 How do I continue from here?

can someone please show me a way to solve this problem?

Answers from textbook:

enter image description here