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Find the shortest distance between the l...

Find the shortest distance between the lines: `vecr=6hati+2hatj+2hatk+lambda(hati-2hatj+2hatk) and vecr=-4hati-hatk+mu(3hati-2hatj-2hatk)`.

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Find the shortest distance between the lines vecr=6hati+2hatj+2hatk+lamda(hati-2hatj+2hatk) and vecr=-4hati+hatk+mu(3hati-2hatj-hatk) .

Find the shortest distance between the two given lines vecr=6hati+2hatj+2hatk+lambda(hati-2hatj+2hatk) and vecr=4hati-hatk+mu(3hati-2hatj-2hatk)

Find the shrotest distance between the lines vecr=hati-7hatj-2hatk+lamda(hati+3hatj+2hatk) and vecr=3hati+4hatj-2hatk+mu(-hati+2hatj+hatk)

find the shortest distance between the lines vecr=6hati-hatj+3hatk+lambda(hati+3hatj+2hatk) and hatr=9hati+hatj-4hatk+mu(hati-2hatj+hatk)

Find the shortest distance between the lines vecr_1=hati+2hatj-3hatk+lambda(3hati-4hatj-hatk) vecr_2=2hati-hatj+hatk+mu(hati+hatj+5hatk)

Find the shortest distance between the lines vecr = (hati + 2hatj+hatk) + lambda(hati-hatj+hatk) and vecr = 2hati - hatj-hatk + mu(2hati+hatj+2hatk)

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Find the shortest distance between the lines given by the line : vecr=6hati+2hatj+2hatk+lambda(hati-2hatj+2hatk) and vecr=4hati+hatk+mu(3hati-2hatj-2hatk) .

Find the shortest distance (S.D.) between the lines : vecr=hatj+lamda(3hati+hatj-2hatk) and vecr=2hati+3hatj-hatk+mu(2hati-hatj+4hatk)

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the vector equation of the line passing through (1, 2, 3) and per...

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  2. Write the vector equations of the plane throught the point (a,b,c) and...

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  3. Find the shortest distance between the lines: vecr=6hati+2hatj+2hatk+l...

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  4. Find the coordinates of the points where the line through (5,1,6) and ...

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  5. Find the coordinates of the point where the line through (5,1,6) and (...

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  6. Find the coordinates of the point where the line through (3, – 4, – 5)...

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

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

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

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  10. If O be the origin and the coordinates of P be (1, 2, – 3), then find ...

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

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  12. Find the distance of the point (-1 , -5 , -10) from the point of inter...

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

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  14. Find the equations of the straight line passing through the point (1, ...

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  15. Prove that if a plane has intercepts a,b,c and is at a distance of p u...

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  16. Distance between the two planes: 2x+3y+4z=4 and 4x+6y+8z = 12 is:

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  17. The planes 2x - y + 4z = 5 and 5x - 2.5y + 10z = 6 are :

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  18. If a line makes angle 90^(@),135^(@),45^(@) with X,Y and Z-axis respec...

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  19. The vector equation of the line through the points (3, 4, - 7) and (1,...

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  20. Fill ups Equations of a line containing the points (0,0,0) and (1,2,-3...

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