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

Exercise

Calculate the values of parameters a and b given that

x4ba=y+ba1=z6a2\frac{x-4b}{a}=\frac{y+b}{a-1}=\frac{z-6}{a-2}

Is parallel to the plain

x2ay+z+10=0x-2ay+z+10=0

And the distance between them is

6\sqrt{6}

Final Answer

a=1a=1

b=53  or  b=113b=-\frac{5}{3} \text{  or  } b=-\frac{11}{3}

Solution

Coming soon…

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