JEE Exam > JEE Videos > Mathematics (Maths) Class 12 > Equation of a Line in Space - Three Dimensional Geometry, Class 12, Math
Equation of a Line in Space - Three Dimensional Geometry, Class 12, Math Video Lecture | Mathematics (Maths) Class 12 - JEE
|
204 videos|290 docs|139 tests
|
FAQs on Equation of a Line in Space - Three Dimensional Geometry, Class 12, Math Video Lecture - Mathematics (Maths) Class 12 - JEE
| 1. What is the equation of a line in three-dimensional space? |  |
Ans. The equation of a line in three-dimensional space can be represented in vector form as r = a + tb, where r is the position vector of a point on the line, a is the position vector of a known point on the line, t is a scalar parameter, and b is the direction vector of the line.
| 2. How can I find the direction vector of a line in three-dimensional space? | |
Ans. To find the direction vector of a line in three-dimensional space, you can subtract the position vectors of two known points on the line. For example, if two points A and B are on the line, the direction vector can be found as b = B - A.
| 3. What is the significance of the scalar parameter t in the equation of a line in three-dimensional space? | |
Ans. The scalar parameter t in the equation of a line in three-dimensional space represents the position of a point on the line relative to the known point a. By varying the value of t, you can obtain different points on the line. For example, when t = 0, the point on the line is at a, and when t = 1, the point is at a + b.
| 4. Can the equation of a line in three-dimensional space be written in Cartesian form? | |
Ans. Yes, the equation of a line in three-dimensional space can also be written in Cartesian form as a set of three equations. The x, y, and z coordinates of a point on the line can be expressed in terms of the parameters t and the components of the direction vector. These equations represent the intersection of the line with the three coordinate planes.
| 5. How can I determine if two lines in three-dimensional space are parallel or intersecting? | |
Ans. Two lines in three-dimensional space are parallel if their direction vectors are scalar multiples of each other. If the direction vectors are not scalar multiples, the lines are either intersecting or skew (not lying in the same plane). To determine if they intersect, you can set up the equations of the lines and solve for the parameters. If the parameters have consistent solutions, the lines intersect at a point.
Related Exams
About this Video
|
4.72/5 Rating |
|
Dec 31, 2024 Last updated |
Video Description: Equation of a Line in Space - Three Dimensional Geometry, Class 12, Math for JEE 2024 is part of Mathematics (Maths) Class 12 preparation.
The notes and questions for Equation of a Line in Space - Three Dimensional Geometry, Class 12, Math have been prepared according to the JEE exam syllabus.
Information about Equation of a Line in Space - Three Dimensional Geometry, Class 12, Math covers all important topics for JEE 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Equation of a Line in Space - Three Dimensional Geometry, Class 12, Math.
Introduction of Equation of a Line in Space - Three Dimensional Geometry, Class 12, Math in English is available as part of our Mathematics (Maths) Class 12 for JEE & Equation of a Line in Space - Three Dimensional Geometry, Class 12, Math 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 Equation of a Line in Space - Three Dimensional Geometry, Class 12, Math 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 Equation of a Line in Space - Three Dimensional Geometry, Class 12, Math
Here you can find the meaning of Equation of a Line in Space - Three Dimensional Geometry, Class 12, Math defined & explained in the simplest way possible.
Besides explaining types of Equation of a Line in Space - Three Dimensional Geometry, Class 12, Math theory, EduRev gives you an ample number of questions to practice Equation of a Line in Space - Three Dimensional Geometry, Class 12, Math 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
ppt
,practice quizzes
,mock tests for examination
,video lectures
,shortcuts and tricks
,Exam
,Math Video Lecture | Mathematics (Maths) Class 12 - JEE
,Equation of a Line in Space - Three Dimensional Geometry
,Class 12
,Equation of a Line in Space - Three Dimensional Geometry
,Extra Questions
,Sample Paper
,Objective type Questions
,Previous Year Questions with Solutions
,Math Video Lecture | Mathematics (Maths) Class 12 - JEE
,past year papers
,Class 12
,Class 12
,Semester Notes
,Equation of a Line in Space - Three Dimensional Geometry
,Math Video Lecture | Mathematics (Maths) Class 12 - JEE
,Important questions
,Summary
,Free
,Viva Questions
,study material
,MCQs
;
Study Equation of a Line in Space - Three Dimensional Geometry, Class 12, Math on the App
Students of JEE can study Equation of a Line in Space - Three Dimensional Geometry, Class 12, Math alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Equation of a Line in Space - Three Dimensional Geometry, Class 12, Math,
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 Equation of a Line in Space - Three Dimensional Geometry, Class 12, Math is prepared as per the latest JEE syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup