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Consider the vector equation of two plan...

Consider the vector equation of two planes `vecr(2hati+hatj+hatk)=3` and `vecr(hati-hatj-hatk)=4`
i.Find the vector equation of any plane through the intersection of the above two planes.
ii. Find the vector equation of the plane through the intersection of the above two planes and the point (1,2,-1).

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NEW JOYTHI PUBLICATION-THREE DIMENSIONAL GEOMETRY-Objective
  1. Consider the vector equation of two planes vecr(2hati+hatj+hatk)=3 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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