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Find the vector and cartesian equations of the plane that passes through the point (1, 0, – 2) and the normal to the plane is `hati+hatj-hatk`

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Find the vector and cartesian equations of the plane that passes through the point (1,4, 6) and the normal vector to the plane is hati-2hatj+hatk

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Find the vector and cartesian equations of the plane which passes through the point (5, 2, – 4) and perpendicular to the line with direction ratios 2, 3, – 1.

Find the vector and Cartesian form of the equation of the plane passing through the point (1, 2, -4) and parallel to the lines vecr=hati+2hatj-4hatk+lamda(2hati+3hatj+6hatk) and vecr=hati-3hatj+5hatk+mu(hati+hatj-hatk) .

Find the vector and the Cartesian equations of the line through the point (5, 2, – 4) and which is parallel to the vector 3hati+2hatj-8hatk

Find the vector and cartesian equations of the plane which passes through the point (5,2,-4) and perpendicular to the line with direction ratios ,

Find the equation of the line which passes through the point (1, 2, 3) and is parallel to the vector 3hati + 2hatj - 2hatk

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Find the vectoer and cartesian equations of the line through the point (1,2,-4) and perpendicualr of the lines: vecr=(8hati-19hatj+10hatk)+lambda(3hati-16hatj+7hatk) and vecr=(15hati+29hatj+5hatk)+mu(3hati+8hatj-5hatk)

Find the equation of the plane passing through (a, b, c) and parallel to the plane vecr cdot(hati + hatj + hatk) = 2

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the equation of the plane passing through the points (1,2,1) and ...

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  2. Find the vector and cartesian equations of the plane which passes thro...

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  3. Find the vector and cartesian equations of the plane that passes throu...

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  4. Find the vector and cartesian equations of the plane that passes thro...

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  5. Find the length of the perpendicular from the point(2,3,7) to the plan...

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  6. In the following , find the distance of each of the given points from ...

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  7. In the following , find the distance of each of the given points from ...

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  8. In the following case, find the distance of each of the given point fr...

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  9. In the following case, find the distance of each of the given point fr...

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  10. In the following, determine the direction cosines of the normal to the...

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  11. In the following, determine the direction cosines of the normal to the...

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  12. If the points (1,1,p) and (-3,0,1) be equidistant from the plane vecr*...

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  13. In the following case, find the coordinates of the foot of the perpend...

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  14. In the following case, find the coordinates of the foot of the perpend...

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  15. In the following cases, find the co-ordinates of the foot of the perpe...

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  16. In the following case, find the coordinates of the foot of the perpend...

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  17. Find the length and the foot of the perpendicular from the point (7, 1...

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

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

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

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