Find the coordinates of the midpoint of the line segment joining A(2, -1, 3) and
Practice Questions
Q1
Find the coordinates of the midpoint of the line segment joining A(2, -1, 3) and B(4, 3, 5). (2022)
(3, 1, 4)
(2, 1, 4)
(3, 2, 3)
(4, 2, 4)
Questions & Step-by-Step Solutions
Find the coordinates of the midpoint of the line segment joining A(2, -1, 3) and B(4, 3, 5). (2022)
Step 1: Identify the coordinates of point A and point B. A is (2, -1, 3) and B is (4, 3, 5).
Step 2: To find the midpoint, we need to calculate the average of the x-coordinates of A and B. This is done by adding the x-coordinates of A and B together and then dividing by 2: (2 + 4) / 2.
Step 3: Calculate the average of the y-coordinates of A and B. Add the y-coordinates together and divide by 2: (-1 + 3) / 2.
Step 4: Calculate the average of the z-coordinates of A and B. Add the z-coordinates together and divide by 2: (3 + 5) / 2.
Step 5: Combine the results from Steps 2, 3, and 4 to get the coordinates of the midpoint M.
Midpoint Formula – The midpoint of a line segment in 3D space is calculated by averaging the coordinates of the endpoints.
