GRADE 12 MATHS: EQUATION OF PLANES IN 3 D
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This presentation deals with how to calculate the equation of a plane passing through 2 points and parallel to a line. It also illustrates how to calculate equation of a plane passing through a point and parallel to 2 lines. We learn how to check for coplanarity and how to find the equation of a plane passing through 2 lines. Equation of a plane passing through the intersection of 2 planes is also explained. This is useful for grade 12 maths students and students appearing for the NATA eligibility test for architecture. For more videos, consider subscribing to my channel or visit my page https://www.mathmadeeasy.co/about https://www.mathmadeeasy.co/about-3
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B. Ed Syllabus for babasaheb ambedkar education university.pdf
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GRADE 12 MATHS: EQUATION OF PLANES IN 3 D
- 1. GRADE 12 MATHS NATA ELIGIBILITY TEST
- 2. Equation of a plane in 3 D Grade 12 maths NATA eligibility test for architecture (mathematics) Subscribe to my channel
- 3. • This channel provides videos for grades 11, 12, graduate/engineering maths and GRE QUANT. • Consider subscribing to my channel. • Visit my page https://www.mathmadeeasy.co/about • Feel free to contact me for any further help.
- 4. This video has 4 problems • Problem 1 shows how to find the equation of a plane passing through 2 points and parallel to a given line. • Problem 2 shows how to calculate the equation of a plane passing through a point and parallel to 2 lines. • Problem 3 shows how to check if 2 lines are coplanar and how to find the equation of a plane containing 2 lines. • Problem 4 deals with the plane passing through the intersection of 2 planes.
- 9. Q 1
- 13. Question 2 Find the equation of the plane passing through the origin and parallel to the vectors 𝑖 + 𝑗 − 𝑘. and 3 𝑖 − 𝑘
- 15. Q 3
- 18. To find the equation of the plane containing the lines, we use the formula 𝑥 − 𝑥1 𝑦 − 𝑦1 𝑧 − 𝑧1 𝑎1 𝑏1 𝑐1 𝑎2 𝑏2 𝑐2 = 0 𝑥 + 1 𝑦 − 2 𝑧 − 5 −3 1 5 −1 2 5 = 0 𝑥 − 2𝑦 + 𝑧 = 0
- 19. Q 4
- 23. What have we learnt? To calculate equation of a plane passing through 2 points and parallel to a line. To calculate equation of a plane passing through a point and parallel to 2 lines To check condition of coplanarity of 2 lines. To find the equation of a plane passing through the intersection of 2 planes
- 24. • Consider subscribing to my channel for more videos on grade 11, 12, graduate/engineering maths, GRE QUANT. • For more videos, visit my playlist or my page • https://www.mathmadeeasy.co/about-3 • I would love to hear your feedback /comments.
- 25. Next video, on angle between 2 planes in 3 dimensional geometry!