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Determine whether the following pair of ...

Determine whether the following pair of lines intersect :
`vecr=hati+hatj-hatk+lamda(3hati-hatj)` and `vecr=4hati-hatk+mu(2hati+3hatk)`

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The correct Answer is:
C
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Determine whether or not the following paris of lines intersect: vecr=hati-5hatj+lambda(2hati+hatk) , vecr=2hati-hatj+mu(hati+hatj-hatk) .

Determine whether or not the following paris of lines intersect: vecr=hati-hatj+lambda(2hati+hatk) , vecr=2hati-hatj+mu(hati-hatj-hatk)

Determine whether or not the following pairs of lines intersect : vecr=(hati-2hatj+3hatk)+lambda(-hati+hatj-2hatk) and vecr=(hati-hatj-hatk)+mu(hati+2hatj-2hatk)

Find the angle between the following pair of lines : vecr=hati+hatj-hatk+lambda(hati-3hatj+2hatk), vecr=2hati-hatj+hatk+mu(3hati+hatj-2hatk)

Find the angle between the following pair of lines: vecr = 3hati+hatj-2hatk + lambda(hati-hatj-2hatk) and vecr = 2hati-hatj-56hatk+mu(3hati-5hatj-4hatk)

Find the shortest distance between each of the following pair of lines: vecr=3hati+5hatj+7hatk+lambda(hati-2hatj+7hatk) and vecr=-hati-hatj-hatk+mu(7hati-6hatj+hatk) .

Find the angle between the following pair of lines: vecr = 2hati-5hatj+hatk + lambda(3hati+2hatj+6hatk) and vecr = 7hati-6hatj+mu(hati+2hatj+2hatk)

Check whether the lines vecr=hati+hatj-hatk+lambda(3hati-hatj) and vecr=4hati-hatk+mu(2hati+hatk) intersect or not.

Find the angles between each of the following pairs of lines: vecr=4hati-hatj+lambda(hati+2hatj-hatk) and vecr=hati-hatj+2hatk-mu(2hati+4hatj-4hatk)

Find the angle between the following pairs of lines : vecr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk) , vecr=5hatj-2hatk+mu(3hati+2hatj+6hatk)

ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:
  1. Find the shortest distance between the lines x+1=2y=-12z and x=y+2=6z-...

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  2. Show that the lines: vecr=(hati+hatj)+lambda(2hati-hatk) and vecr=(2ha...

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  3. Determine whether the following pair of lines intersect : vecr=hati+...

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  4. Find the vector and cartesian equation of the plane which bisects the ...

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  5. Find the equation of the plane passing through the point (3,-3, 1) and...

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  6. Find the co-ordinates of the foot of the perpendicular distance of the...

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

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  8. A plane meets the coordinates axes in A, B and C such that the centroi...

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  9. Find the direction ratios of the normal to the plane, which passes thr...

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

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  11. Find the equation of the plane passing through the line of intersectio...

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  12. Find the equation of the plane passing through the line of intersectio...

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  13. Find the equation of the plane which contains the line of intersection...

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  14. If from a point P(a,b,c) perpendicular PA and PB are drawn to yz and z...

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  15. Find the equation of the plane passing through the points (3, 4, 1), (...

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

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  17. Find image of point (1, 3, 4) in the plane 2x-y+z+3=0.

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  18. Find the distance between the point (7,2,4) and the plane determined b...

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  19. Find the distance between the point P(6,5,9) and the plane determined ...

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  20. Find the cartesian and vector equations of the planes passing through ...

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