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Find the angle between the pair of lines...

Find the angle between the pair of lines `(x+3)/3=(y-1)/5=(z+3)/4` and `(x+1)/1=(y-4)/1=(z-5)/2`

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The angle between the staight lines (x+1)/2=(y-2)/5=(z+3)/4 and (x-1)/1=(y+2)/2=(z-3)/(-3) is

Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-2)/3=(y-3)/4=(z-5)/5 .

Find the angle between the following pairs of lines : i. (x-2)/2=(y-1)/5=(z+3)/(-3) and (x+2)/(-1)=(y-4)/8=(z-5)/4 ii. x/2=y/2=z/1 and (x-5)/4=(y-2)/1=(z-3)/8

Find the angle between the line (x-1)/3=(y-1)/2=(z-1)/4 and the plane 2x+y-3z+4=0.

Find tha angle between the lines (x-20)/(1)=(y+15)/(2)=(z-3)/(-2) and (x+5)/(6)=(y+3)/(3)=(z-16)/(6)

Find the angle between the following lines (x-1)/(2)=(y+1)/(3)=(z-4)/(6) and x+1= (y+2)/(2)=(z-4)/(2) .

Find the acute angle between the straight lines (x-4)/(2)=(y)/(1)=(z+1)/(-2) and (x-1)/(4)=(y+1)/(-4)=(z-2)/(2) state whether they are parallel or perpendicular.

Find the angle between the line (x+1)/2=y/3 =(z-3)/6 and the plane 10x+2y-11z=3.

Find the shortest distance between the lines (x+1)/7=(y+1)/(-6) =(z+1)/1 and (x-3)/1=(y-5)/-2=(z-7)/1

NEW JOYTHI PUBLICATION-THREE DIMENSIONAL GEOMETRY-Objective
  1. Find the angle between the pair of lines (x+3)/3=(y-1)/5=(z+3)/4 and (...

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  2. The distance between x axis and the point (3,12,5) is

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  3. The perpendicular distance of the point (6,5,8) from y-axis

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  4. If 1/2,1/3,n are the direction cosines of a line , then the value of ...

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  5. A line makes angles of 45^@ and 60^@ with the z-axis and the x-axis re...

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  6. If direction cosines of a line are (1)/(c),(1)/(c),(1)/(c)," then. "

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  7. The coordinates of a point P are (3,12,4) w.r.t. the origin O. Then th...

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  8. The direction cosines of a line that makes equal angles with the three...

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  9. If the direction cosines of a line are k,k,k , then

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  10. The direction cosines of a straight line, whose projections on the coo...

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  11. The vector equation of the straight line (1-x)/3 =(y+1)/(-2) =(3-z)/(-...

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  12. The line (x-x1)/0=(y-y1)/1=(z-z1)/2 is

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  13. A unit vector parallel to the straight line (x-2)/3=(3+y)/(-1) = (z-2)...

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  14. The two lines x=ay+b, z=cy+d and x=a'y+b', z=c'y+d will be perpendicul...

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  15. If the vector equation of a line (x-2)/2=(2y-5)/(-3) =z+1 is vecr=2hat...

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  16. If the staight line (x-1)/k=(y-2)/2=(z-3)/3 and (x-2)/3=(y-3)/k =(z-1)...

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  17. The equation of the line joining the points (-3,4,11) and (1,-2,7) is

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  18. The vector equation of the line 6x-3=3y+4=2z-2 is

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  19. The angle between the staight lines (x+1)/2=(y-2)/5=(z+3)/4 and (x-1)/...

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  20. If the lines (x-1)/(-3)=(y-2)/(2k) =(z-3)/2 and (x-1)/(3k) =(y-5)/1=(z...

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  21. A line makes angles alpha,beta,gamma with the coordinates axes . If al...

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