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Find the angle between the pair lines ...

Find the angle between the pair lines
`barr=2i-5j+k+lambda(3i+2j+6k)` and
`barr=7i-6k+mu(i+2j+2k)`

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Find the shortest distance between the lines barr=(2i-j-k)+lambda(3i-5j+2k) and barr=(i+2j+k)+mu(i-j+k)

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Find the shortest distance between the lines barr=i+2j+3k+lambda(i+j+k) and barr=i+j+k+mu(i+j+k)

Find the distance between the line barr=i+j+lambda(2i+j+4k) and the plane barr.(-2i+k)=5 .

find the shortest distance between the pair of lines barr=(i+2j+3k)+lambda(i-3j-2k) barr=(4i+5j+6k)+mu(2i+3j+k)

Find the angle between the vectors veca=2i+j-k and vecb=i-j+k .

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The angle between the vectors i+j and j+k is

The angle between the line r = (i + 2j + 3k) + lambda (2i + 3j + 4k) and the plane r.(i + 2j -2k) = 0 is a) 0^(@) b) 60^(@) c) 30^(@) d) 90^(@)

Given the straight lines barr=3i+2j-4k+lambda(i+2j+2k) and barr=5i-2k+mu(3i+2j+6k) Form the equation of the line perpendicular to the given lines and passing through the point(1,1,1)

A N EXCEL PUBLICATION-THREE DIMENSTIONAL GEOMETRY-QUESTION BANK
  1. Find the vector and the cartesian equation of the lines that passes th...

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  2. Find the vector and the cartesian equations of the lines that passes t...

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  3. Find the angle between the pair lines barr=2i-5j+k+lambda(3i+2j+6k) ...

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  4. Find the angle between the following pairs of lines.vecr = 3hati+hatj-...

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  5. Find the angles between the lines (x-2)/2=(y-1)/5=(z+3)/-3 and (x+...

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  6. Find the angle between the following pairs of lines.(x)/2=(y)/2=(z)/1 ...

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  7. Find the values of p so that the lines (1-x)/3 = (7y-14)/(2p) = (z-3)/...

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  8. Find the shortest distance between the lines whose vector equations ...

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

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

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

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

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

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

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

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

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

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

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

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

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