Ex 11.2, 7 - Chapter 11 Class 12 Three Dimensional Geometry

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Ex 11.2, 7 The Cartesian equation of a line is 5 3 = + 4 7 = 6 2 . Write its vector form. Cartesian equation : 5 3 = + 4 7 = 6 2 5 3 = ( 4) 7 = 6 2 Equation of a line in Cartesian form is given by 1 = 1 = 1 Comparing (1) and (2), 1 = 5, 1 = 4 1 = 6 & = 3 , b = 7 c = 2 Equation of line in vector form is = + Where = 1 + y1 + z1 = 5 4 + 6 & = + b + c = 3 + 7 + 2 Now, = (5 4 + 6 ) + (3 + 7 + 2 ) Therefore, equation of line in vector form is = (5 4 + 6 ) + (3 + 7 + 2 )