Check sibling questions

Example 8 - Chapter 11 Class 12 Three Dimensional Geometry (Term 2)

Last updated at March 22, 2023 by

Example 8 - The Cartesian equation of a line is. Find vector - Examples

Example 8 - Chapter 11 Class 12 Three Dimensional Geometry - Part 2

Get live Maths 1-on-1 Classs - Class 6 to 12

Book 30 minute class for ₹ 499 ₹ 299

Transcript

Example 8 The Cartesian equation of a line is + 3 2 = 5 4 = + 6 2 Find the vector equation for the line. Cartesian equation : + 3 2 = 5 4 = + 6 2 ( 3) 2 = 5 4 = ( 6) 2 Equation of a line in Cartesian form is 1 = 1 = 1 Comparing (1) and (2), 1= 3, 1= 5, 1= 6 & = 2, = 4, c = 2 Equation of line in vector form is = + where = 1 + y1 + z1 = 3 + 5 6 & = + b + c = 2 + 4 + 2 Now, = ( 3 + 5 6 ) + (2 + 4 + 2 ) Therefore, equation of line in vector form is ( 3 + 5 6 ) + (2 + 4 + 2 )

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.