Question 2 - Examples - Chapter 11 Class 12 Three Dimensional Geometry

Last updated at Dec. 16, 2024 by

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

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

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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 )

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