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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 vector 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 cartesian equation of the plane

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Consider the vector 4hati+8hatj+hatk (i) Find the direction cosines of the given vector

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Consider the vectors veca=2hati-3hatj+hatk Find abs(veca)

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A N EXCEL PUBLICATION-THREE DIMENSTIONAL GEOMETRY-QUESTION BANK
  1. Find the shortest distance between the lines whose vector equations ...

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  2. Find the shortest distance between the lines vecr = (1-t)hati+(t-2)hat...

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

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

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

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

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

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

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

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

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

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

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

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

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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 dis...

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

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