Analytical Geometry – Calculate parameter values in a line equation – Exercise 5513

Exercise

Calculate the values of parameters a and b given that

$\frac{x-4b}{a}=\frac{y+b}{a-1}=\frac{z-6}{a-2}$

Is parallel to the plain

$x-2ay+z+10=0$

And the distance between them is

$\sqrt{6}$

Final Answer

$a=1$

$b=-\frac{5}{3} \text{ or } b=-\frac{11}{3}$

Solution

Coming soon…

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