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Question:
The cartesian equation of the line is 3x+1=6y-2=1-z .what is its direction ratio
Answer:

Give 3x + 1 = 6y - 2 = 1 - z

= (3x + 1)/1 = (6y - 2)/1 = (1 - z)/1

= (x + 1/3)/(1/3) = (y - 2/6)/(1/6) = (1 - z)/1

= (x + 1/3)/(1/3) = (y - 1/3)/(1/6) = (1 - z)/1

Now, the direction ratios are: 1/3, 1/6, 1

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