Question

Express the vector with initial point P and terminal point Q in component form. P(5,3), Q(1,0)

Answer 1

To express the vector with initial point P(5,3) and terminal point Q(1,0) in component form, subtract the x-coordinates and y-coordinates of the terminal point from the initial point. The vector in component form is (-4, -3).

Step-by-step explanation:

To express the vector with initial point P(5,3) and terminal point Q(1,0) in component form, we subtract the x-coordinates and y-coordinates of the terminal point from the initial point. The x-component of the vector is Qx - Px = 1 - 5 = -4, and the y-component is Qy - Py = 0 - 3 = -3. Therefore, the vector in component form is (-4, -3).