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Question 2 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 )

  1. Chapter 11 Class 12 Three Dimensional Geometry
  2. Serial order wise

About the Author

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo