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The length of the perpendicular from the...

The length of the perpendicular from the point (2, -1, 4) on the straight line, `(x+3)/(10)=(y-2)/(-7)=(z)/(1)` is

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The length of the perpendicular (in units) from the point (1, 2, 4) on the straight line (x-2)/(1)=(y-7)/(2)=(z-3)/(-1) lies in the interval

The length of the perpendicular drawn from the point (3, -1, 11) to the line (x)/(2)=(y-2)/(3)=(z-3)/(4) is

The length of the perpendicular drawn from the point (5,4,-1) on the line (x-1)/(2)=(y)/(9)=(z)/(5)

Find the length of the perpendicular drawn from the point (4,5) upon the straight line 3x+4y=10

(a) Find the foot of the perpendicular from the point (i) (2, -1,5) on the line : (x -11)/(10) = (y + 2)/(-5) = (z + 8)/(11) (ii) (0,2,3) on the line (x +3)/(5) = (y-1)/(2) = (z + 4)/(3) . (b) Also, find the length of perpendicular in part (ii).

The co-ordinates of the foot of the perpendicular from the point (3,-1,11) on the line (x)/(2)=(y-2)/(3)=(z-3)/(4) are

Find the length of the perpendicular from the point (1,2,3) to the line (x-6)/(3)=(y-7)/(2)=(z-7)/(-2)

If the length of perpendicular from the point (-1,2,-2) on the line (x+1)/(2)=(y-2)/(-3)=(z+2)/(4) is d then d^(2)

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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