Vectors and 3D Geometry Problems Solving - 1 | Class 12 , JEE Maths | Rohit Ranjan (IIT KGP)

Описание: In this video, we solve an important Class 12 level problem from Vectors and 3D Geometry involving direction ratios, perpendicular lines, and equation of a line in 3D.

👉 Problem Statement
Two lines are given as:
l1: (1−x)/3 = (7y−14)/p = (z−7)/2
l2: (7−7x)/3p = (y−5)/1 = (6−z)/5
1️⃣ Find the value of ppp for which the lines l1and l2​ are perpendicular.
2️⃣ Find the equation of a line passing through the point
(3, 2, −4)
and parallel to l1​.

🔍 Concepts Used
✔ Direction ratios from symmetric form of line
✔ Condition for perpendicular lines using dot product
✔ Vector form and Cartesian form of a line
✔ Parallel lines in 3D space
This problem is solved in a step-by-step manner, with emphasis on:
Correct extraction of direction ratios


Neat mathematical presentation


Board-exam friendly method



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


Students preparing for school exams


Learners building strong basics for JEE vectors & 3D geometry


This video is part of the Vectors & 3D Geometry Problem-Solving Playlist designed specially for Class 12 board exam preparation.

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