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Find the vector and cartesian equations of the plane containing the lines: `vecr=hati+2hatj-4hatk+lambda(2hati+3hatj+6hatk)` and `vecr=3hati+3hatj-5hatk+mu(-2hati+3hatj+8hatk)`.

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Find cartesian equations of the plane containing the lines: vecr=2hati+hatj-3hatk+lambda(hati+2hatj+5hatk) and vecr=3hati+3hatj-7hatk+mu(3hati-2hatj+5hatk)

Find the angle between the lines vecr=2hati+3hatj-4hatk+lambda(2hati+1hatj+2hatk) and vecr=2hati-5hatk+mu(6hati+3hatj+2hatk)

Find the angle between the lines vecr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk) and vecr=8hati-2hatj+mu(3hati+2hatj+5hatk) .

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=hati+2hatj+3hatk+lambda(hati-3hatj+2hatk) and vecr=4hati+5hatj+6hatk+lambda(2hati+3hatj+hatk)

Show that the lines vecr=hati+hatj+hatk+lambda(hati-hatj+hatk) and vecr=4hatj+2hatk+mu(2hati-hatj+3hatk) are coplanar.

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

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 distance between the lines l_1 and l_2 given by : vecr = hati+2hatj-4hatk+lambda(2hati+3hatj+6hatk) and vecr = 3hati+3hatj-5hatk+mu(2hati+3hatj+6hatk)CtildeO

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
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  9. Find the equation of the plane containing the line : (x-1)/3=(y+2)/1=(...

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  12. Find the equations of the line through (-1,3,2) and perpendicular to t...

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

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  14. Find the vector equation of a line passing through the point with posi...

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  15. Find the co-ordinates of the point, where the line: (x-2)/3=(y+1)/4=(z...

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  16. Find the length of the perpendicular from the point (1,2,3) to the lin...

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  17. Find the point, where the line joining the points (1,3,4) and (-3,5,2)...

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  18. Find the co-ordinates of the point where the line joining the points (...

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  19. Find the equation of the plane passing through the point (1,1,1) and c...

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  20. Find the equation of the plane passing through the points (1,2,1) and ...

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