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Find the angle between the lines whose d...

Find the angle between the lines whose direction cosines are given by the equation `l + m + n = 0` and `l^2 + m^2 - n^2 = 0.`

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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-PRACTICE WORK
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  3. Find the angle between the lines whose direction cosines are given by ...

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  4. Show that the lines (x-2)/(3)=(y+1)/(-2)=2 and (x-1)/(1)=(2y+3)/(3)=(z...

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  5. Prove that if the lines x = ay + b, z = cy + d and x = a'y + b', z = c...

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

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  7. Find the shortest distance between the lines vecr =(8+3lambda) hati - ...

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  8. Find the shortest distance between the lines vecr=(4hati-hatj)+lam...

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  9. Find the shortest distance between the lines (x-1)/(2)=(y-2)/(3)=(...

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  10. Find the shortest distance between the lines vecr=(lambda-1)hati+(...

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  11. Find the direction cosines of perpendicular from the origin to the pla...

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  12. Find the vector equation of a plane which is at a distance 11 units fr...

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  13. Find the vector equation of the plane vecr=hati-hatj+lambda(hati+hatj+...

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  14. Find the cartesian equation of the plane through the point (2,-1, 1) a...

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  15. Find the vector equation of the plane passing through the points (1, -...

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  16. Find the value of a so that the four points with position vectors -hat...

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  18. Show that the plane through (1, 1, 1), (1,-1, 1) and (-7, 3, -5) is pe...

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  19. The foot of perpendicular from the origin to the plane is (4, -2, -5) ...

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