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A line makes angles alpha,""""beta,""""g...

A line makes angles `alpha,""""beta,""""gamma` and `delta` with the diagonals of a cube, prove that `cos^2alpha+cos^2beta+cos^2gamma+cos^2delta=4/3`

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RD SHARMA ENGLISH-DIRECTION COSINES AND DIRECTION RATIOS-All Questions
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  2. Find the direction cosines of the two lines which are connected by t...

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  3. A line makes angles alpha,""""beta,""""gamma and delta with the ...

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  4. Show that the straight lines whose direction cosines are given by th...

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  6. If the edges of a rectangular parallelepiped are a ,b ,c prove that th...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. 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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