Point T is the midpoint of a straight line AB . given that the coordinates of A and T are (1,-1,1)and (2,0,1.5) respectively, find the coordinates of B.
To find the coordinates of point B, we need to find the vector from point T to point B and add it to the coordinates of point T.
We can find the vector from point A to point T by subtracting the coordinates of A from the coordinates of T:
B - T = (2, 0, 1.5) - (1, -1, 1) = (1, 1, 0.5)
Since T is the midpoint of AB, the vector from A to B is twice the vector from A to T:
B - A = 2 * (B - T) = 2 * (1, 1, 0.5) = (2, 2, 1)
To find the coordinates of B, we add this vector to the coordinates of A:
B = A + (2, 2, 1) = (1, -1, 1) + (2, 2, 1) = (3, 1, 2)
Therefore, the coordinates of point B are (3, 1, 2).