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Find the equation of a line passing thro...

Find the equation of a line passing through the point `vec c,` parallel to the plane `vecr. Vecn =p` and intersecting the line `vec r = veca + vecb.`

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The correct Answer is:
`vecr =vecc + k [ vecc-veca) xx vecc - veca) xx vecb )]`
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VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -LEVEL-2
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  2. Let vectors veca, vecb veca and vecd be such that (veca xxvecb)xx (vec...

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  3. The image of plane p (1) in the plane mirror p (2) is : Let two planes...

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  4. Find the equation of a line : passing through the point vec c , paral...

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  5. Find the equation of a line passing through the point vec c, parallel ...

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  6. Prove that the shortest distance between the diagonals of a rectangula...

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  7. The equation of the plane which passes through the line of intersect...

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  8. Find the equation a plane containing the line vecr =t veca and perpend...

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  9. Prove that the line of intersection of x + 2y + 3z=0 and 3x + zy+ z=0 ...

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  10. Find the distance of the point (3,8,2) from the line vecr=hati + 3 hat...

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  11. Find the vector equation of the plane vecr = 2 hati + hatj - 3 hatk + ...

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  12. Show that the equation to the plane containing the line y/b+ z/c =1, x...

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  13. Prove that the volume of the tetrahedron and that formed by the centro...

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  14. In a regular tetrahedron, prove the following: The angle between any e...

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  15. In a regular tetrahedron, prove that angle theta between any edge and ...

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  16. A line L1 passing through a point with position vector p=i+2j+3k and ...

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  17. A line L1 passing through a point with position vector p=i+2h+3k and ...

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  18. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

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  19. Find area parallelogram lines y=mx, y=mx+1, y=nx and y=nx+1 equal to:

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  20. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

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