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
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- 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 ? + ? ? ?. and 3 ? ? ?
- 15. Q 3
- 18. To find the equation of the plane containing the lines, we use the formula ? ? ?1 ? ? ?1 ? ? ?1 ?1 ?1 ?1 ?2 ?2 ?2 = 0 ? + 1 ? ? 2 ? ? 5 ?3 1 5 ?1 2 5 = 0 ? ? 2? + ? = 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
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- 25. Next video, on angle between 2 planes in 3 dimensional geometry!