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Consider the plane passing through (2, 3...

Consider the plane passing through (2, 3, 5) and perpendiular to the vector
`4hati+2hatj-3hatk` Find the cartesian equation of the plane

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Consider the plane passing through (2, 3, 5) and perpendiular to the vector 4hati+2hatj-3hatk Find the vector equation of the plane

A line passes through the point (3,-2,5) and parallel to the vector hati+2hatj+hatk What is the vector equation of the line?

Find the vector equation of the line passing through (1,2,3) and perpendicular to the plane vecr.(hati+2hatj-5hatk)+9=0

Consider a point P(-2, -1, -4) and the plane vecr.(3hati+4hatj+5hatk)=10. Write the cartesian equation of the given plane. Hence, find the perpendicular distance of P from the plane.

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

Let the vector equation of a plane be vecr.(2hati+4hatj+3hatk)=12 (i) Write the cartesian equation of the plane.

Let the equation of a plane be barr.(2hati-3hatj+5hatk)=7 , then find the Cartesian equation of the plane.

Find the vector equation of the line passing through (1,2,3) and parallel to the planes vecr .(hati-hatj+2 hatk)=5 and vecr .(3 hati+hatj+hatk)=6

Find the direction cosines of the vector 2hati+hatj+3hatk

A N EXCEL PUBLICATION-THREE DIMENSTIONAL GEOMETRY-QUESTION BANK
  1. Find the shortest distance between the lines vecr = (1-t)hati+(t-2)hat...

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  2. Consider the plane passing through (2, 3, 5) and perpendiular to the v...

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  3. Consider the plane passing through (2, 3, 5) and perpendiular to the v...

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  4. Consider a plane passing through the points A(-2, 6, -6), B(-3, 10, -9...

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  5. Consider a plane passing through the points A(-2, 6, -6), B(-3, 10, -9...

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  6. Find the eqauation of the plane through the points (2, 1, -1) and (-1,...

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  7. Consider the points A(2, 2, 1) and B(9, 3, 6) and the plane 2x+6y+6z-1...

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  8. Find the equation of the plane that contains the point (1, -1, 2) and ...

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  9. Suppose that a plane meets the co-ordinate axes at A, B, C such that t...

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

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  11. Consider a point P(-2, -1, -4) and the plane vecr.(3hati+4hatj+5hatk)=...

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  12. Consider a point P(-2, -1, -4) and the plane vecr.(3hati+4hatj+5hatk)=...

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  13. Consider the line (x-1)/2 = (y-2)/-3=(z+5)/4 and the plane 2x+4y-z=3. ...

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  14. Consider the line vecr = (hati+2hatj-hatk)+lambda(2hati+hatj+4hatk) an...

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  15. Consider the line vecr = (hati+2hatj-hatk)+lambda(2hati+hatj+4hatk) an...

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  16. Determine the direction cosines of the normal to the plane and the dis...

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  17. Determine the direction cosines of the normal to the plane and the dis...

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  18. Determine the direction cosines of the normal to the plane and the dis...

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  19. Determine the direction cosines of the normal to the plane and the d...

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  20. Find the vector equation of a plane which is at a distance of 7 units ...

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