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Find the vector and the cartesian equati...

Find the vector and the cartesian equations of the line that passes through the points (3, – 2, – 5), (3, – 2, 6).

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The correct Answer is:
`vec(r)=3hat(i)-2hat(j)+(lamda-5)hat(k)`
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OMEGA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Questions
  1. Find the cartesian equation of the line which passes through the point...

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  2. The vector equation of the line (x-5)/(3)=(y+4)/(7)=(z-6)/(2) is ........

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  3. Find the vector and the cartesian equations of the line that passes th...

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  4. Find the angle between the pair of lines vec(r)=2hat(i)-5hat(j)+hat(...

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  5. Find the angle between the pairs of lines vec(r)=3hat(i)+hat(j)-2hat...

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  6. Find the angle between the pair of lines (x+3)/3 = (y-1)/5 = (z+3)/4an...

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  7. Find the angle between the pair of lines (x-2)/2=(y-1)/5=(z+3)/(-3) an...

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  8. Find the angle between the lines (x)/(2)=(y)/(2)=(z)/(1) and (x-5)/(4)...

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  9. Find the angle between the line (x+1)/2 = y/3 = (z-3)/6 and the plane ...

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  10. The vector equation of two lines are vec(r)=hat(i)+2hat(j)+hat(k)+la...

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  11. Find the shortest distance between the lines whose vector equations ar...

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  12. Find the shortest distance between the following two lines vec(r)=(1+2...

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  13. The vector equation of two lines are vec(r)=(1-t)hat(i)+(t-2)hat(j)...

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

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  15. In the following cases, find the co-ordinates of the foot of the perpe...

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  16. Find the co-ordinates of the foot of perpendicular drawn from the orig...

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  17. Find the length and the foot of the perpendicular from the point (7, 1...

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  18. Find vector equation of line passing through (1,2,3) and perpendicular...

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  19. Find the shortest distance between the lines (x+1)/(7)=(y+1)/(-6)=(...

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  20. Find the co-ordinates of the points where the line through the points ...

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