Vectors and 3D Geometry Problems Solving - 4 | Class 12 , JEE Maths | Rohit Ranjan (IIT KGP)

Описание: In this video, we solve an important Class 12 Vectors & 3D Geometry problem on finding the image (reflection) of a point in a given line in three-dimensional space.

👉 Problem Statement
Find the image of the point (2, −1, 5) in the line L: (x−11)/10 =( y+2)/(−4) = (z+8)/(−11)
🔍 Concepts Used
✔ Direction ratios of a line in symmetric form
✔ Vector method for image (reflection) of a point
✔ Perpendicular from a point to a line in 3D
✔ Mid-point concept in reflection problems
✔ Writing final coordinates clearly for board exams
The problem is solved step by step, focusing on:
Converting the line into vector form


Using geometric reasoning instead of heavy algebra


Presenting the solution in a clear, exam-friendly manner



🎯 Who Should Watch This Video?
Class 12 CBSE / ISC students


Students preparing for board examinations


Learners strengthening concepts of Vectors & 3D Geometry


This problem is very useful for understanding projection, reflection, and symmetry in 3D space, which are commonly tested in exams.

✅ SEO Tags (Comma-Separated)
vectors and 3d geometry class 12, image of a point in a line, reflection of point in 3d, coordinate geometry in 3d, symmetric form of line, direction ratios of a line, vectors class 12 problems, 3d geometry problem solving, CBSE class 12 vectors, CBSE class 12 3d geometry, image of point vector method, reflection problems 3d geometry, board exam vectors maths, ncert 3d geometry solutions, perpendicular from point to line 3d, vector algebra class 12, line in space problems, maths class 12 vectors, 3d geometry numericals