Question

Express the vector with initial point P and terminal point Q in component form. P(-1,3), Q(-6,-1)

Answer 1

To express the vector with initial point P(-1,3) and terminal point Q(-6,-1) in component form, subtract the x-coordinates and the y-coordinates of the two points. The vector can be expressed as (-5, -4).

Step-by-step explanation:

To express the vector with initial point P(-1,3) and terminal point Q(-6,-1) in component form, we subtract the x-coordinates and the y-coordinates of the two points to find the components. The x-coordinate of the vector is Qx - Px = -6 - (-1) = -5. The y-coordinate of the vector is Qy - Py = -1 - 3 = -4. Therefore, the vector can be expressed as (-5, -4).