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The Cartesian equations of a line are 3x...

The Cartesian equations of a line are `3x+1=6y-2=1-z ,` finding the fixed point through which it passes, its direction ratios and also its vector equation.

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The correct Answer is:
`vec(r) = (- (1)/(3) hat(i) + (1)/(3) hat(j) + hat(k) ) + lambda(2 hat(i) + hat(j) - 6 hat(k))`.
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