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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the midpoint of the points (1, 1, 1) and (3, 3, 3)?
💡 Hint: Calculate the average of each coordinate.
Question 2
Easy
Find the coordinates of a point R that divides the segment PQ where P(0, 0, 0) and Q(2, 2, 2) in the ratio 1:1.
💡 Hint: Use the section formula for m=n.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the formula for the section formula in 3D?
- A) R = (mx2 + nx1)/(m+n)
- (my2 + ny1)/(m+n)
- (mz2 + nz1)/(m+n)
- B) R = (mx1 + ny2)/(m-n)
- (my1 + ny2)/(m-n)
- C) R = (x1+x2)/2
- (y1+y2)/2
- (z1+z2)/2
💡 Hint: Think about the coordinates and their respective weights in the ratio.
Question 2
The midpoint of the points (2, 4, 6) and (8, 10, 12) is?
💡 Hint: Add the coordinates and divide by 2.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Find the coordinates of a point R that divides the segment joining points A(1, 1, 1) and B(6, 6, 6) in the ratio 5:2.
💡 Hint: Keep in mind the section formula - calculate for each axis separately!
Question 2
A point C divides the line segment connecting D(4, -2, 1) and E(-6, 3, 5) in the ratio 3:4. What are the coordinates of point C?
💡 Hint: Split the calculations into separate components for clarity.
Challenge and get performance evaluation