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Find the angle between the line (x+1)/2 ...

Find the angle between the line `(x+1)/2 = y/3 = (z-3)/6` and the plane `10x+2y-11z = 3`

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The correct Answer is:
`theta=sin^(-1)((8)/(21))`.
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OMEGA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Questions
  1. Find the angle between the pair of lines (x-2)/2=(y-1)/5=(z+3)/(-3) an...

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  2. Find the angle between the lines (x)/(2)=(y)/(2)=(z)/(1) and (x-5)/(4)...

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  3. Find the angle between the line (x+1)/2 = y/3 = (z-3)/6 and the plane ...

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  4. The vector equation of two lines are vec(r)=hat(i)+2hat(j)+hat(k)+la...

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  5. Find the shortest distance between the lines whose vector equations ar...

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  6. Find the shortest distance between the following two lines vec(r)=(1+2...

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  7. The vector equation of two lines are vec(r)=(1-t)hat(i)+(t-2)hat(j)...

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  8. Find the equation of plane passing through (a,b,c) and parallel to the...

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  9. In the following cases, find the co-ordinates of the foot of the perpe...

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  10. Find the co-ordinates of the foot of perpendicular drawn from the orig...

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  11. Find the length and the foot of the perpendicular from the point (7, 1...

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  12. Find vector equation of line passing through (1,2,3) and perpendicular...

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  13. Find the shortest distance between the lines (x+1)/(7)=(y+1)/(-6)=(...

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  14. Find the co-ordinates of the points where the line through the points ...

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  15. Find the vector equation of the plane which is at a distance of 7 unit...

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  16. Find the cartesian equation of plane vec(r)*(hat(i)+hat(j)-hat(k))=2

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  17. Find the co-ordinates of the foot of the perpendicular drawn from the ...

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  18. Find the equations of the plane that passes through three points : (1,...

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  19. Find the equation of the plane passing through the point ( 1, -1 , 2) ...

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  20. Find the intercepts cut off by the plane 2x+y-z = 5

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