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
What is the general form of the equation of a plane?
💡 Hint: Think about how we express 2D equations but in 3D.
Question 2
Easy
Identify what A, B, and C represent in the general form.
💡 Hint: Remember the role of the normal vector in defining a plane.
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 general form of the equation of a plane?
- A x + B y + C z + D = 0
- Ax + By = 0
- x^2 + y^2 + z^2 = 0
💡 Hint: Look at how we express equations of different dimensions.
Question 2
True or False: The normal vector is parallel to the plane.
- True
- False
💡 Hint: Think about how 'normal' relates to 'perpendicular'.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Find the equation of the plane that intersects the point (2, 3, 4) and has a normal vector (1, 1, 1). Derive it in all forms.
💡 Hint: Explore how each form derives from the normal vector and the coordinates provided.
Question 2
Given the plane 2x - y + 3z + 5 = 0 and another plane x + 2y - z - 7 = 0, find the angle between them.
💡 Hint: The angle between planes can be derived from the angle between their normals.
Challenge and get performance evaluation