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Find the direction cosines of the line (...

Find the direction cosines of the line `(x-2)/(2)=(2y-5)/(-3),z=-1`. Also find the vector equation of the line.

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The correct Answer is:
`4/5,(-3)/(5),0vecr=(2hati+5/2hatj-hatk)+lambda(2hati-3/2hatj+0hatk)`
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-PRACTICE WORK
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  9. Find the angle between the lines vecr = (3 + lambda)hati + 2(1 + l...

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

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

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

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

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

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

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

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