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If `a` variable line in two adjacent positions has direction cosins `l ,m ,n and I+deltal ,m+deltam m ,n+deltan ,` show that he small angel `deltatheta` between two positions is given by `(deltatheta)^2=(deltal)^2+(deltam)^2+(deltan)^2`

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RD SHARMA ENGLISH-DIRECTION COSINES AND DIRECTION RATIOS-All Questions
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  4. If the edges of a rectangular parallelepiped are a ,b ,c prove that th...

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  5. If three mutually perpendicular lines have direction cosines (l1,m1,n...

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  6. Find the direction cosines of the sides of the triangle whose verti...

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  7. Prove that the straight lines whose direction cosines are given by ...

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  8. The x-coordinates of a point on t line joining the points Q(2,2,1)a...

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  9. Given that P(3,2,-4),Q(5,4,-6)a n dR(9,8,-10) are collinear. Find the ...

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  10. Find the coordinates of the foot of the perpendicular drawn from th...

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  11. Find the angle between the vectors with direction ratios proportion...

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  12. Determine the point in XY-plane which is equidistant from thee poin...

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  13. Find the angle between the lines whose direction cosines are given b...

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  14. Find the distance between the points A and B with position vectors hat...

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  15. Find the locus of the point which is equidistant from the points A(0...

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  16. Find the distance between the points P(-2,4,1) and Q(1,2,5).

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  17. Prove by using distance formula that the points P(1,2,3),Q(-1,-1,-1)a ...

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  18. Show that the points A(0,1,2),B(2,-1,3)a n dC(1,-3,1) are vertices of ...

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  19. Find the coordinates of a point equidistant from the four points O(...

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  20. Using vector method prove that the points A(6,−7,−1),B(2,−3,1) and C(...

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