Point T is a midpoint of a straight line AB . Given that the coordinates of A and T are (1,-1) and (2,0,0.5) respectively, find the coordinates of AB.
To find the coordinates of point B, we can use the midpoint formula.
The midpoint formula is given by:
Midpoint = ( (x1 + x2) / 2, (y1 + y2) / 2, (z1 + z2) / 2)
In this case, we know the coordinates of A and T. Let's call the coordinates of point B (x, y, z).
Applying the midpoint formula using the x-coordinates, we get:
(1 + x) / 2 = 2
Simplifying, we find:
1 + x = 4
x = 3
Applying the midpoint formula using the y-coordinates, we get:
(-1 + y) / 2 = 0
Simplifying, we find:
-1 + y = 0
y = 1
Applying the midpoint formula using the z-coordinates, we get:
(0.5 + z) / 2 = 0
Simplifying, we find:
0.5 + z = 0
z = -0.5
Therefore, the coordinates of point B are (3, 1, -0.5).