Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Write the vector form of a line passing through point A(1, 2, 3) with direction ratios (1, 2, 3).
💡 Hint: Use the formula \\( \\vec{r} = \\vec{a} + \\lambda \\vec{b} \\).
Question 2
Easy
What is the parametric equation of a line with point (0, 0, 0) and direction vector (1, 1, 1)?
💡 Hint: Remember to express each coordinate in terms of \\( \\lambda \\).
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
Which form expresses a line using a direction vector?
- Parametric Form
- Symmetric Form
- Vector Form
💡 Hint: Think about the way each form is structured.
Question 2
True or False: The parametric form can be used to find specific points on the line.
- True
- False
💡 Hint: Recall how we use \\( \\lambda \\) in those equations.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a point A(2, 3, 4) and direction ratios (1, -1, 2), write the equations in all three forms: vector, parametric, and symmetric.
💡 Hint: Use the initial point and direction ratios for conversions.
Question 2
Prove that the point (3, 4, 5) lies on the line defined by \( \frac{x-1}{2} = \frac{y+1}{-1} = \frac{z-2}{3} \).
💡 Hint: Verify each coordinate substitution against the symmetric definitions.
Challenge and get performance evaluation