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Find the co ordinates of the foot of per...

Find the co ordinates of the foot of perpendicular and the length of the perpendicular drawn from the point P(5,4,2) to the line :` vecr=-hati+3hatj+hatk+lambda(2hati+3hatj-hatk)`. Also find the image of P in this line.

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Find the coordinates of the foot of the perpendicular and the length of the perpendicular drawn from the point P(5,4,2) to the line vecr=(-hati+hatj+hatk)+lambda(2hati+hatj-hatk) . Also find the image of P in this line.

Find the perpendicular distance from the point (1,2,3) to the line : vecr=6hati+7hatj+7hatk+lambda(3hati+2hatj-2hatk)

find the length and the foot of perpendicular drawn from the point (1,1,2) to the plane vecr.(2hati-2hatj+4hatk)+5=0 .

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

Show that the line , vecr=2hati-3hatj+5hatk+lambda(hati-hatj+2hatk) lies in the plane vecr*(3hati+hatj-hatk)+2=0 .

Show that the line , vecr=hati+hatj+lambda(2hati+hatj+4hatk) lies in the plane vecr*(hati+2hatj-hatk)=3 .

Find the vector equation of the line through (4,3,-1) and parallel to the line: vecr=(2hati-hatj+3hatk)+lambda(3hati-hatj+4hatk)

If the foot of perpendicular drawn from the origin to a plane is (5,-3,-2), then the equation of plane is vecr.(5hati-3hatj-2hatk)=38 .

Find the angle between the line vecr=(hati+hatj+hatk)+lambda(2hati-hatj-hatk) and the plane vecr.(hati+hatj-2hatk) =3.

ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:
  1. Find the equation of a line passing through the points A(0, 6, -9) and...

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  2. Find the image of the point (1,6,3) in the line : x/1=(y-1)/2=(z-2)/3.

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  3. Find the co ordinates of the foot of perpendicular and the length of t...

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  4. Find the shortest distance between the lines : vecr=hati-hatj+lamda(...

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  5. Find the shortest distance between the following lines whose vector eq...

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  6. Find the shortest distance between the lines vecr=hati+2hatj+3hatk+lam...

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  7. Find the shortest distance (S.D.) between the lines : vecr=hatj+lamd...

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  8. Write the vector equation of the following lines and hence find distan...

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  9. Find the shortest distance between the lines x+1=2y=-12z and x=y+2=6z-...

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  10. Show that the lines: vecr=(hati+hatj)+lambda(2hati-hatk) and vecr=(2ha...

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  11. Determine whether the following pair of lines intersect : vecr=hati+...

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  12. Find the vector and cartesian equation of the plane which bisects the ...

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  13. Find the equation of the plane passing through the point (3,-3, 1) and...

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  14. Find the co-ordinates of the foot of the perpendicular distance of the...

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  15. Find the equation of the plane passing through (a, b, c) and parallel ...

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  16. A plane meets the coordinates axes in A, B and C such that the centroi...

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  17. Find the direction ratios of the normal to the plane, which passes thr...

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  18. Find the vector equation of the plane passing through the intersection...

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  19. Find the equation of the plane passing through the line of intersectio...

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  20. Find the equation of the plane passing through the line of intersectio...

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