JEE Exam > JEE Videos > Mathematics (Maths) Class 12 > Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry
Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry Video Lecture | Mathematics (Maths) Class 12 - JEE
|
204 videos|290 docs|139 tests
|
FAQs on Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry Video Lecture - Mathematics (Maths) Class 12 - JEE
| 1. How do you calculate the distance of a point from a plane in three-dimensional geometry? |  |
Ans. To calculate the distance between a point and a plane in three-dimensional geometry, we can use the formula:
Distance = |ax + by + cz + d| / √(a^2 + b^2 + c^2)
where (x, y, z) represents the coordinates of the point, and the equation of the plane is ax + by + cz + d = 0. By substituting the values into the formula, we can find the distance.
| 2. Can you explain how to find the equation of a plane given a point and a normal vector? | |
Ans. Yes, to find the equation of a plane given a point (x1, y1, z1) on the plane and a normal vector (a, b, c), we can use the formula:
ax + by + cz = ax1 + by1 + cz1
where (x, y, z) represents any point on the plane. The normal vector (a, b, c) is perpendicular to the plane, and by substituting the values into the formula, we can obtain the equation of the plane.
| 3. How can we find the angle between a line and a plane in three-dimensional geometry? | |
Ans. To find the angle between a line and a plane in three-dimensional geometry, we can use the formula:
Angle = arctan(|ax + by + cz| / √(a^2 + b^2 + c^2))
where (x, y, z) represents the direction ratios of the line, and the equation of the plane is ax + by + cz + d = 0. By substituting the values into the formula, we can calculate the angle between the line and the plane.
| 4. Is it possible for a line to be parallel to a plane in three-dimensional geometry? | |
Ans. Yes, it is possible for a line to be parallel to a plane in three-dimensional geometry. If the direction ratios of the line (x, y, z) are proportional to the coefficients of the plane's equation (ax + by + cz + d = 0), then the line is parallel to the plane. This occurs when a line lies entirely within the plane or when its direction ratios are multiples of the plane's coefficients.
| 5. Can you explain how to find the distance between two parallel planes in three-dimensional geometry? | |
Ans. To find the distance between two parallel planes in three-dimensional geometry, we can use the formula:
Distance = |d2 - d1| / √(a^2 + b^2 + c^2)
where d1 and d2 are the constants in the equations of the planes ax + by + cz + d1 = 0 and ax + by + cz + d2 = 0, respectively. The values of a, b, and c are the same for both planes. By substituting the values into the formula, we can calculate the distance between the parallel planes.
Related Exams
About this Video
|
4.88/5 Rating |
|
Dec 22, 2024 Last updated |
Video Description: Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry for JEE 2024 is part of Mathematics (Maths) Class 12 preparation.
The notes and questions for Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry have been prepared according to the JEE exam syllabus.
Information about Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry covers all important topics for JEE 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry.
Introduction of Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry in English is available as part of our Mathematics (Maths) Class 12 for JEE & Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry 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 Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry 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 Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry
Here you can find the meaning of Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry defined & explained in the simplest way possible.
Besides explaining types of Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry theory, EduRev gives you an ample number of questions to practice Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry 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
study material
,Important questions
,mock tests for examination
,Semester Notes
,Previous Year Questions with Solutions
,shortcuts and tricks
,Free
,Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry Video Lecture | Mathematics (Maths) Class 12 - JEE
,Viva Questions
,ppt
,video lectures
,Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry Video Lecture | Mathematics (Maths) Class 12 - JEE
,practice quizzes
,Objective type Questions
,Sample Paper
,past year papers
,Exam
,Summary
,Extra Questions
,MCQs
,Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry Video Lecture | Mathematics (Maths) Class 12 - JEE
;
Study Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry on the App
Students of JEE can study Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry,
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 Distance of a point from a Plane and Angle Between a Line and a Plane - Three Dimensional Geometry is prepared as per the latest JEE syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup