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Find lambda if the lines x/6=y/2=z/-3 an...

Find `lambda` if the lines `x/6=y/2=z/-3` and `x/p=y/-6=z/2` are at right angles.

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Write the attitude numbers of the plane 2x-3y+4z-13=0.

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  2. Find p if the planes 2x+3y+6z-13=0 and 6x+py-3z=0 are at right angles.

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  3. Find lambda if the lines x/6=y/2=z/-3 and x/p=y/-6=z/2 are at right an...

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  4. Find the intercepts of the plane 2x-3y+4z-24=0 on the cooridnate axes.

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  5. Find the distance of the plane x+y+z-sqrt3=0 from the origin.

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  6. Does the line x=y=0 lie in the plane z=0.

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  7. Name the surface represented by the equation 2x-3y=0.

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  8. Find the distance between the point (2,3,6) and (0,0,0).

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  9. Write down the coordinates of the mid point of the segment joining the...

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  10. If the direction ratios of a line <2,-1,-2> find the direction cosines...

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  11. find the vector equations of the line which is parallel to the vector ...

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  12. Find the direction cosines of the line passing through the points P(2,...

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  13. If a line makes an angles of 30^@, 60^@, 90^@ with the positive direct...

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  14. If the x - coordinate of a point P on the line joining points Q(2,2,1)...

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  15. Find the distance of the point whose position vector is 2hati+hatj-hat...

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  16. Find the position vector of a point A in space such thatvec(OA) is inc...

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  17. Parametric equations of a line are x=-1+2t, y=3-4t and z=2+t. find the...

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  18. Parametric equations a line are x=2-3t, y=-1+2t and z=3+t. write down ...

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  19. Vector equations of a line if vecr=3hati-6hatj+7hatk+lambda(2hati-hatj...

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  20. Vector equation of a plane is vecr.(2hati+4hatj-3hatk)=5. Write down t...

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