Find the components of the vector from the point P=(8,-2) to the point Q=(5,9)
You should really know how to do this if you are studying vectors.
vector(PQ) = (5-8,9+2) = .....
To find the components of the vector from point P to point Q, we need to subtract the components of point P from the components of point Q.
Given P=(8,-2) and Q=(5,9),
The x-component of the vector PQ is obtained by subtracting the x-component of P from the x-component of Q:
x-component: Qx - Px = 5 - 8 = -3
The y-component of the vector PQ is obtained by subtracting the y-component of P from the y-component of Q:
y-component: Qy - Py = 9 - (-2) = 9 + 2 = 11
Therefore, the components of the vector from point P to point Q are (-3, 11).