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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Write the symmetric form for a line passing through (1,2,3) and parallel to (4,5,6).
💡 Hint: Start with the coordinates of the point and the direction ratios.
Question 2
Easy
What do the direction ratios of a symmetric line represent?
💡 Hint: Remember, these ratios help define the slope of the line in three dimensions.
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 symmetric form of a line in 3D?
- r = |p - q|
- x - x0/a = y - y0/b = z - z0/c
- None of the above
💡 Hint: It eliminates the parameter.
Question 2
True or False: The direction ratios can be zero.
- True
- False
💡 Hint: Consider the definition of direction ratios.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Determine the symmetric form of a line through points A(2,3,5) and B(5,6,8).
💡 Hint: Use the concept of direction ratios and the coordinates of the given points.
Question 2
Given the symmetric form \( \frac{x - 4}{a} = \frac{y + 5}{b} = \frac{z - 6}{c} \), if a = 0, what does this line represent?
💡 Hint: Think about what it means to not have a directional change in one axis.
Challenge and get performance evaluation