Question

the midpoint of PQ is R. R has coordinates (-3,2,-1) and P has coordinates (4,-6,-6). What are coordinates of Q?

Answer 1

The coordinates of point Q are (-10, 10, 4).

Step-by-step explanation:

To find the coordinates of point Q, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points P(x1, y1, z1) and Q(x2, y2, z2) are given by the average of the coordinates:

R = ((x1 + x2) / 2, (y1 + y2) / 2, (z1 + z2) / 2)

In this case, we are given that the midpoint R has coordinates (-3, 2, -1) and one of the points P has coordinates (4, -6, -6). Plugging in these values into the midpoint formula, we can solve for the coordinates of point Q:

Q = (2 * R - P)

Q = (2 * (-3, 2, -1) - (4, -6, -6))

Q = (-6, 4, -2) - (4, -6, -6)

Q = (-10, 10, 4)

Answer 2

Point Q would have the coordinates of (-10, 10, 4)