JEE Exam > JEE Videos > Mathematics (Maths) Class 12 > Examples : Equation of a Plane passing through 3 Non-Collinear points
Examples : Equation of a Plane passing through 3 Non-Collinear points Video Lecture | Mathematics (Maths) Class 12 - JEE
|
204 videos|290 docs|139 tests
|
FAQs on Examples : Equation of a Plane passing through 3 Non-Collinear points Video Lecture - Mathematics (Maths) Class 12 - JEE
| 1. What is the equation of a plane passing through three non-collinear points? |  |
Ans. The equation of a plane passing through three non-collinear points, P1(x1, y1, z1), P2(x2, y2, z2), and P3(x3, y3, z3), can be found using the formula:
A(x - x1) + B(y - y1) + C(z - z1) = 0, where A, B, and C are the coefficients of the equation and can be calculated using the cross product of the vectors formed by the given points.
| 2. How do you find the coefficients A, B, and C for the equation of a plane? | |
Ans. To find the coefficients A, B, and C for the equation of a plane passing through three non-collinear points, you can use the cross product of the vectors formed by the given points.
Let's say the vectors are v1 = P2 - P1 and v2 = P3 - P1. Then, the coefficients A, B, and C can be calculated as follows:
A = (y2 - y1)(z3 - z1) - (z2 - z1)(y3 - y1)
B = (z2 - z1)(x3 - x1) - (x2 - x1)(z3 - z1)
C = (x2 - x1)(y3 - y1) - (y2 - y1)(x3 - x1)
| 3. Can a plane equation have multiple solutions passing through the same three points? | |
Ans. No, a plane equation passing through three non-collinear points will have a unique solution. Since the three points are not on the same line (non-collinear), they uniquely determine a plane. Thus, the equation of the plane passing through these points will be unique.
| 4. Is it possible for three collinear points to have an equation of a plane passing through them? | |
Ans. No, it is not possible for three collinear points to have an equation of a plane passing through them. Collinear points lie on the same line, and a plane is a two-dimensional surface. To determine a unique plane, we need three non-collinear points that are not in a straight line.
| 5. What is the significance of finding the equation of a plane passing through three points? | |
Ans. Finding the equation of a plane passing through three non-collinear points is significant in various fields such as geometry, engineering, and physics. It helps in understanding the spatial relationship between the points and provides a mathematical representation of the plane. This equation can be used for further calculations, such as determining distances, angles, or intersections with other objects in the 3D space.
Related Exams
About this Video
|
4.61/5 Rating |
|
Nov 22, 2024 Last updated |
Video Description: Examples : Equation of a Plane passing through 3 Non-Collinear points for JEE 2024 is part of Mathematics (Maths) Class 12 preparation.
The notes and questions for Examples : Equation of a Plane passing through 3 Non-Collinear points have been prepared according to the JEE exam syllabus.
Information about Examples : Equation of a Plane passing through 3 Non-Collinear points covers all important topics for JEE 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Examples : Equation of a Plane passing through 3 Non-Collinear points.
Introduction of Examples : Equation of a Plane passing through 3 Non-Collinear points in English is available as part of our Mathematics (Maths) Class 12 for JEE & Examples : Equation of a Plane passing through 3 Non-Collinear points in
Hindi for Mathematics (Maths) Class 12 course. Download more important topics related with notes, lectures and mock test series for
JEE Exam by signing up for free.
Description
Video Lecture & Questions for Examples : Equation of a Plane passing through 3 Non-Collinear points Video Lecture | Mathematics (Maths) Class 12 - JEE - JEE full syllabus preparation | Free video for JEE exam to prepare for Mathematics (Maths) Class 12.
Information about Examples : Equation of a Plane passing through 3 Non-Collinear points
Here you can find the meaning of Examples : Equation of a Plane passing through 3 Non-Collinear points defined & explained in the simplest way possible.
Besides explaining types of Examples : Equation of a Plane passing through 3 Non-Collinear points theory, EduRev gives you an ample number of questions to practice Examples : Equation of a Plane passing through 3 Non-Collinear points tests,
examples and also practice JEE tests.
|
204 videos|290 docs|139 tests
|
|
Explore Courses for JEE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Sample Paper
,MCQs
,study material
,Exam
,Extra Questions
,past year papers
,Examples : Equation of a Plane passing through 3 Non-Collinear points Video Lecture | Mathematics (Maths) Class 12 - JEE
,Objective type Questions
,Previous Year Questions with Solutions
,Examples : Equation of a Plane passing through 3 Non-Collinear points Video Lecture | Mathematics (Maths) Class 12 - JEE
,Viva Questions
,Summary
,practice quizzes
,Important questions
,mock tests for examination
,shortcuts and tricks
,Free
,Semester Notes
,ppt
,video lectures
,Examples : Equation of a Plane passing through 3 Non-Collinear points Video Lecture | Mathematics (Maths) Class 12 - JEE
;
Study Examples : Equation of a Plane passing through 3 Non-Collinear points on the App
Students of JEE can study Examples : Equation of a Plane passing through 3 Non-Collinear points alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Examples : Equation of a Plane passing through 3 Non-Collinear points,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Examples : Equation of a Plane passing through 3 Non-Collinear points is prepared as per the latest JEE syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup