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Find the equation of the plane containing the lines `(x-5)/4=(y-7)/4=(z+3)/(-5)a n d(x-8)/7=(y-4)/1=(z-5)/3dot`

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The required plane is
`" "|{:(x-5,,y-7,,z+3),(4,,4,,-5),(7,,1,,3):}|=0`
or `" "17(x-5)-(12+35)(y-7)+(4-28)(z+3)=0`
or `" "17x-47y-24z+172=0`
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CENGAGE-THREE-DIMENSIONAL GEOMETRY -Exercise 3.3
  1. Find the angle between the line (x-1)/3=(y-1)/2=(z-1)/4 and the pla...

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  2. Find the distance between the line (x+1)/(-3)=(y-3)/2=(z-2)/1 and t...

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  3. Find the distance of the point (-1,-5,-10) from the point of int...

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  4. Find the equation of the plane passing through the point (-1,3,2) and ...

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  5. Find the equation of the plane passing through the points (1,0,-1)a...

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  6. Find the equation of the plane containing the lines (x-5)/4=(y-7)/4...

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  7. Find the equation of the plane passing through the straight line (x...

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  8. Find the equation of the plane perpendicular to the line (x-1)/2=(y...

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  9. Find the equation of the plane passing through the line (x-1)/5=(y+...

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  10. Find the angle between the line vecr=(veci+2vecj-veck)+lamda(veci-vecj...

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  11. Find the equation of the plane which passes through the point (12,3...

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  12. The direction ratios of the line, given by the planes x - y + z - 5 = ...

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  13. Find the equation of a plane which is parallel to the plane x-2y+2z...

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  14. Find the equation of a plane which passes through the point (1,2,3)...

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  15. Find the equation of the image of the plane x-2y+2z-3=0 in plane x+...

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  16. Find the equation of the plane through the points (23,1)a n d(4,-5,...

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  17. Find the distance of the point veca from the plane vecr*hatn=d measure...

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  18. Find the value of m for which thestraight line 3x-2y+z+3=0=4x=3y+4z+1 ...

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  19. Show that the lines (x-a+d)/(alpha+delta)=(y-a)/alpha =(z-a-d)/(alpha ...

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