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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)` .

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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 shortest distance between the lines given by the. equations : vecr=(hati-hatj+2hatk)+lambda(2hati-hatj-4hatk) and vecr=(2hati-4hatj+hatk)+mu(3hati+hatj-5hatk) .

Find the shortest distance between the lines whose equations are : vecr=hati+2hatj+hatk+lambda(hati-2hatj+hatk) and vecr=2hati-hatj-hatk+mu(3hati+hatj+2hatk) .

Find the shortest distance between the lines whose equations are : vecr=hati+2hatj+hatk+lambda(hati-hatj+hatk) and vecr=2hati-hatj-hatk+mu(2hati+hatj+2hatk) .

Find the shortest distance between the lines given by the. equations : vecr=(hati-2hatj+3hatk)+lambda(hati+3hatj+4hatk) and vecr=(2hati+hatj+5hatk)+mu(3hati+4hatj-hatk) .

Find the shortest distance and the vector equation of the line of shortest distance between the lines given by : vecr= (3hati+8hatj+3hatk)+lambda(3hati-hatj+hatk) and vecr=(-3hati-7hatj+6hatk)+mu(-3hati+2hatj+4hatk) .

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

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

Find the shortest distance between the lines given by the. equations : vecr=(hati+2hatj+3hatk)+lambda(2hati+3hatj+4hatk) and vecr=(2hati+4hatj+5hatk)+mu(3hati+4hatj+5hatk) .

Find the shortest distance between the lines whose equations are : vecr=5hati+3hatj+2hatk+lambda(2hati+hatj-hatk) and vecr=3hati-hatj-2hatk+mu(hati+hatj+2hatk)

PSEB-THREE DIMENSIONAL GEOMETRY-Exercise
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  2. Find the equation of a line parallel to x-axis and passing through the...

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  3. If the coordinates of the points A, B, C, D be (1, 2, 3), (4, 5, 7), (...

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  4. If the lines (x-1)/-3 = (y-2)/2k = (z-3)/2 and (x-1)/3k = (y-1)/1 = (z...

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

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

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  7. Find the shortest distance between the lines given by the line : vec...

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  8. Find the coordinates of that point when the line passing through two p...

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

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  10. Find the equation of the plane passing through the point (-1, 3, 2) an...

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  11. If the points (1, 1, p) and (– 3, 0, 1) be equidistant from the plane ...

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

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

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

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

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

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

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  18. Prove that if a plane has the intercepts a, b, c and is at a distance ...

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

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

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