Example 9. The cartesian equation of a line are 6x - 2 = 3y +1=22-2
(a) Find its direction ratios and
(b) Also find cartesian and vector equations of the line, which passes through the point(2, 1,-1) and parallel to the given line.
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Answer:
Let 6x-2=3y+1=2z-2= l
Hence (x,y,z)= (1/3,-1/3,1) + l(1/6,1/3,1/2)
i.e. 1/3 i + (-1)j + (1) k + l[ 1/6 i + 1/3j + 1/2k]
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