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The lines vecr=a1+tvecv1 and vecr=a2+sve...

The lines `vecr=a_1+tvecv_1` and `vecr=a_2+svecv_2` lie in a plane `(vecv_1xxvecv_2 ne vec0)` iff

A

`veca_1xxveca_2=vec0`

B

`veca_1xxvecv_2=0`

C

`veca_2xxvecv_1=0`

D

`(veca_2-veca_1).(vecv_1xxvecv_2)=0`

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. If a line makes angles alpha,beta,gamma respectively with positive dir...

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  2. Distance of the point (alpha, beta,gamma) from y-axis is

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  3. The co-ordinates of foot of the perpendicular drawn from the point (2,...

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  4. The equation of x-axis is of the form

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  5. A set of D.R of the line vecr=(hati+hatj+hatk)+1(2hati+3hatj+6hatk)are

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  6. If alpha, beta, gamma are the angles that a line makes with the positi...

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  7. P is a point on the line segment joining the points (3, 2, -1) and (6,...

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  8. The shortest destance between vecr = veca1 + lambdavecb and vecr = vec...

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  9. The area of the quadrilateral ABCD, where A 0,4, 1), B (2, 3, -1), C (...

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  10. The line x=1, y=2 is

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  11. The distance between the planes 3x+2y-6z=14=0 and 3x+2y-6z+21=0 is

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  12. The line (x-x1)/0=(y-y1)/1=(z-z1)/2 is

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  13. The line (x-x1)/0=(y-y1)/1=(z-z1)/2 is

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  14. The locus represented by x y + yz=0 is

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  15. The line (x-x1)/a=(y-y1)/b=(z-z1)/c is at right angles to the plane Ax...

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  16. The line (x-x1)/a=(y-y1)/b=(z-z1)/c is parallel to the plane Ax+By+Cz+...

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  17. The lines vecr=a1+tvecv1 and vecr=a2+svecv2 lie in a plane (vecv1xxvec...

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  18. If the projections of vec(PQ) on OX, OY and OZ are respectively 12,4,a...

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  19. The reflection of the point (alpha,beta,gamma) in the xy-plane is:

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  20. The projection of the point (1,2,-4) in the YOZ-plane is

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