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Find the angle between the line (x-2)/3=...

Find the angle between the line `(x-2)/3=(y+1)/-1=(z-3)/-2` and the plane `3x+4y+z+5=0`.

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Statement 1 : Let theta be the angle between the line (x-2)/(2)=(y-1)/(-3)= (z+2)/(-2) and the plane x+y-z=5 . Then theta= sin ^(-1)(1//sqrt(51)) . Statement 2 : The angle between a straight line and a plane is the complement of the angle between the line and the normal to the plane.

Find the image of the line (x-1)/2=(y+1)/(-1)=(z-3)/4 in the plane 3x-3y+10 z-26=0.

Find the projection of the line (x-1)/2=(y+1)/-1=(z-3)/4 in the plane x+2y+z-9=0 .

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the angle between the line (x-2)/3=(y+1)/-1=(z-3)/-2 and the plan...

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  2. Find the distance of the point (2,3,4) from the x axis.

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  3. If a line makes angles of 90^@,60^@ and theta with the x, y and z axis...

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  4. If a line has direction cosines <2/3, -1/3, -2/3>, then find the direc...

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  5. If a line has direction ratios <2,-1,-2>, then what are its direction ...

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  6. Find the direction cosines of a line passing through the points (1,0,0...

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  7. Find the direction cosines of the lines joining the points: (-1,-1,-1)...

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  8. Find the direction ratios and direction cosines of the vector joining ...

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  9. Write the direction cosines of the vector : -2hati+hatj-5hatk

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  10. Write the direction cosines of the vector : hati+2hatj+3hatk

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  11. Find the length of the projection of the line segment joining (3,4,5) ...

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  12. Show that the following points are collinear : (1,2,3) , (2,6,3) , (3,...

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  13. Find the acute angle between two lines whose direction ratios are <2,3...

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  14. Find the obtuse angle between two lines whose direction ratios are : <...

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  15. Find the angle between the lines whose direction ratios are : a,b,c...

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  16. Find the direction cosines of the sides of the triangle whose vertices...

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  17. Show that the three lines with direction cosines 12/13, -3/13, -4/13, ...

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  18. The angle between the lines whose direction cosines are given by the ...

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  19. Find the angle between the lines whose direction cosines are given by ...

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  20. Find the area of the triangle ABC whose vertices are : A(1,2,4), B(-2,...

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  21. Show that the line through the points (4, 7, 8), (2, 3, 4) is parallel...

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