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The distance of the point having positio...

The distance of the point having position vector `-hati+ 2 hatj + 6 hatk` from the straight line passing through the point `(2,3,-4)` and parallel to the vector, `6 hati+ 3 hatj -4 hatk` is :

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The equation of a line passing through the point (4,-2,5) and parallel to the vector 3hati -hatj + 2hatk is

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Find the equation of the plane through the point (3,4,-5) and parallel to the vectors 3hati+hatj-hatk and hati-2hatj+hatk .

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MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)
  1. Show that the lines (x-a+d)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alpha+...

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  2. For a non-zero real number x, u, v, w if the points with position vect...

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  3. If four points with position vectors A(-i+2j+3k),B(-i-12j-3k),C(2i-j-4...

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  4. A non zero vector veca is parallel to the line of intersection of the ...

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  5. Suppose direction cosines of two lines L(1)andL(2) are related by l+m+...

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  6. If Q(5/3,7/3,17,3) is foot of perpendicular drawn from P(1, 0, 3) on a...

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  7. A line passing through A(2,-1,5)andB(4,3,-10) meets the xy-plane at (x...

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  8. A variable plane in space moves in such a way that the sum of its reci...

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  9. If plane x + 4y - 2z = 1, x + 7y – 5z = beta, x + 5y + alphaz = 5 in...

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  10. Suppose a and b lie on a plane normal to the plane containing c and d....

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  11. A tetrahedron has vertices P(1,2,1),Q(2,1,3),R(-1,1,2) and O(0,0,0). T...

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  12. The length of the perpendicular from the point (2, -1, 4) on the strai...

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  13. If a point R(4,y,z) lies on the line segment joining the points P(2,-3...

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  14. The vertices B and C of a DeltaABC lie on the line, (x+2)/(3)=(y-1)/(0...

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  15. If the plane 2x-y+2x+3=0 has the distances (1)/(3) and (2)/(3) units f...

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  16. The distance of the point having position vector -hati+ 2 hatj + 6 hat...

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  17. Let V = Volume of the tetrahedron whose vertices are A(1,0,0),B(0,0,1)...

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  18. If the symmetrical form of line of intersection of planes 4x-3y=1,2y-4...

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  19. Let d = the distance of point A(4,1,1) from the line of intersection o...

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  20. If equation of the plane through the parallel lines (x+1)/(3)=(y-2)/...

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