Final answer:
To express the vector with initial point P(3,2) and terminal point Q(8,9) in component form, subtract the x-coordinates and y-coordinates of the two points. The x-component is 5 and the y-component is 7.
Step-by-step explanation:
To express a vector with initial point P(3,2) and terminal point Q(8,9) in component form, we need to find the difference between the x-coordinates and the y-coordinates of the two points.
So, the x-component of the vector is the difference between the x-coordinates: Qx - Px = 8 - 3 = 5.
And the y-component of the vector is the difference between the y-coordinates: Qy - Py = 9 - 2 = 7.
Therefore, the vector with initial point P and terminal point Q in component form is (5, 7).