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Find the distance of the point with posi...

Find the distance of the point with position vector `-hati-5hatj-10hatk` from the point of intersection of the line `vecr=(2hati-hatj+2hatk)+lambda(3hati+4hatj+12hatk)` and the plane `vecr*(hati-hatj+hatk)=5`.

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Find the point of intersection of the line : vecr=(hati+2hatj+3hatk)+lambda(2hati+hatj+2hatk) and the plane vecr*(2hati-6hatj+3hatk)+5=0 .

Find the distance of the point (-1 , -5 , -10) from the point of intersection of the line vecr=2hati-hatj+2hatk+lambda(3hati+4hatj+2hatk) and the plane vecr.(hati-hatj+hatk) =5.

Find the distance of the point (2,12,5) from the point of intersection of the line: vecr=2hati-4hatj+2hatk+lambda(3hati+4hatj+2hatk) and the plane vecr*(hati-2hatj+hatk)=0 .

Find the angle between the line vecr=(hati+2hatj-hatk)+lambda(hati-hatj+hatk) and the plane vecr.(2hati-hatj+hatk)=4 .

Find the angle between the line vecr=(hati-hatj+3hatk)+lambda(2hati-hatj+hatk) and the plane vecr.(hati+hatj+2hatk) =4.

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

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

Find the distance of the point (2, 3, -1) from the point of intersection of the line vecr=3hati+hatj-2hatk+lambda(3hati+6hatj+2hatk) and the plane vecr.(2hati-hatj+hatk) =3.

Find the angles between the line vecr=-hati+hatj+2hatk+lambda(3hati+2hatj+4hatk) and the plane vecr.(2hati+hatj-3hatk)+4=0

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the distance of the point (-1, -5, -10) from the point of interse...

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  2. Find the distance of the point (-1 , -5 , -10) from the point of inter...

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  3. Find the distance of the point with position vector -hati-5hatj-10hatk...

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  4. Find the distance of the point (2,12,5) from the point of intersection...

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  5. Find the distance between the point with position vector -hat(i)-5hat(...

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  6. Find the vector equation of the line passing through (1, 2, 3) and par...

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  7. Find the vector equation of the line passing through (1, 2, 3) and per...

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  8. Find the equation of the plane which is parallel to the line (x-4)/1=(...

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  9. Find the equations of the plane through the points (1,0,-1), (3,2,2) a...

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  10. Find the equation of the plane containing the line (x+2)/2=(y+3)/3=(z-...

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  11. Find the equation of the plane, which contains two lines: (x-4)/1=(y-3...

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  12. Find the vector and cartesian equations of the plane containing the li...

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  13. Find the equation of the plane through the point (1,1,1) and perpendic...

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  14. If the line drawn from (4,-1,2) to the point (-3,2,3) meets a plane at...

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  15. Find the length and the foot of the perpendicular from: P(1,1,2) to th...

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  16. Find the coordinates of the foot of the perpendicular drawn from the o...

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  17. Find the co-ordinates of the foot of the perpendicular from the point(...

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  18. Find the equation of the plane containing the line : (x-1)/3=(y+2)/1=(...

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  19. Show that the line L whose vector equation is vecr=2hati-2hatj+3hatk+l...

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  20. State when the line vecr=veca+lambdavecb is parallel to the plane vecr...

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