Find the coordinates of the midpoint of the line segment joining A(2, -1, 3) and

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Question: Find the coordinates of the midpoint of the line segment joining A(2, -1, 3) and B(4, 3, 5). (2022)

Options:

Correct Answer: (3, 1, 4)

Exam Year: 2022

Solution:

Midpoint M = ((2+4)/2, (-1+3)/2, (3+5)/2) = (3, 1, 4).

Find the coordinates of the midpoint of the line segment joining A(2, -1, 3) and B(4, 3, 5). (2022)

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.