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A line passing through the point A with ...

A line passing through the point A with position vector `veca=4hati+2hatj+2hatk` is parllel to the vector `vecb=2hati+3hatj+6hatk`.Find the length of the perpendicular drawn on this line from a point P with position vector `vecr_1=hati+2hatj+3hatk`.

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The projection of the vector veca=2hati+3hatj+2hatk on the vector vecb=hati+2hatj+hatk is :

A line passes through the point with position vector 2hati-hatj+4hatk and is in the direction of hati+hatj-2hatk . Find the equations for the line in vector and in cartesian form.

Find the equation of the line passing through the point with position vector hati-hatj+2hatk and perpendicular to the plane vecr.(2hati-hatj+3hatk)=5 .

Let vecF=2hati+4hatj+3hatk at the point P with position vector hati-hatj+3hatk . Find the moment of vecF about the line through the origin O in the direction of the vector veca=hati+2hatj+2hatk .

Find the vector equation of a plane passing through the point having position vector 2hati+hatj+hatk and perpendicular to the vector: 4hati-2hatj+3hatk .

Find the vector equation of a line passing through the point with position vector (2hati-3hatj-5hatk) and perpendicular to the plane vecr*(6hati-3hatj-5hatk)+2=0 . Also, find the point of intersection of this line and the plane.

Find the projection of the vector hati+3hatj+7hatk on the vector 2hati-3hatj+6hatk .

Find the vector equation of a line passing through the point with position vector hati-2hatj-3hatk and parallel to the line joining the points with position vectors hati-hatj+4hatk and 2hati+hatj+2hatk . Also find the cartesian form of the equation.

Show that vectors vecA= 3hati+ hatj+ hatk and vecB= hati+ 2hatj- 5hatk are perpendicular to each other.

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the length of perpendicular from point (2, 3, 4) to the (4-x)/(2...

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  2. Find the equations of the perpendicular from the point (3,-1,11,) to t...

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  3. A line passing through the point A with position vector veca=4hati+2ha...

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  4. 1 Find the shortest distance between the lines l1 and l2 whose vector ...

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  5. Find the shortest distance between two lines whose vector equations ar...

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

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

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

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

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

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

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

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  13. Consider the equation of the straight lines given by : L1:vecr=(hati+2...

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  14. Consider the equation of the straight lines given by : L1:vecr=(hati+2...

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  15. Consider the equation of the straight lines given by : L1:vecr=(hati+2...

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  16. Consider the equation of the straight lines given by : L1:vecr=(hati+2...

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  17. Consider the equation of the straight lines given by : L1:vecr=(hati+2...

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  18. Consider the equation of the straight lines given by : L1:vecr=(hati+2...

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

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

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