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Example 7 - Find vector equation for line (-1, 0, 2), (3, 4, 6) - Equation of line  - given 2 points

Example, 7 - Chapter 11 Class 12 Three Dimensional Geometry - Part 2

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Example, 7 Find the vector equation for the line passing through the points ( 1, 0, 2) and (3, 4, 6). Vector equation Vector equation of a line passing though two points with position vectors and is = + ( ) Given, Let two points be A ( 1, 0, 2) & B(3, 4, 6) So, = ( + 0 + 2 ) + 3 +4 +6 ( + 0 + 2 ) = + 0 + 2 + 3 + 4 + 6 + 0 2 = + 0 + 2 + 3 + 1 + 4 0 + (6 2) = + 0 + 2 + 4 + 4 + 4 = + 2 + + + Therefore, the vector equation is + 2 + 4 + 4 + 4

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.