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If the projection of a line of length d ...

If the projection of a line of length d on the coordinate axes are `d_(1),d_(2),d_(3) " respectively then, prove that " d^(2) = (d_(1)^(2)+d_(2)^(2)+d_(3)^(2))/2`

A

`2d^(2)`

B

`3d^(2)`

C

`d^(2)`

D

`5d^(2)`

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DIPTI PUBLICATION ( AP EAMET)-DIRECTION COSINES AND DIRECTION RATIOS-EXERCISE 1
  1. The acute angle between the two lines whose direction ratios are given...

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  2. Find the angle between the lines whose d.c's are related by l + m + n ...

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  3. The angle between the lines whose direction cosines satisfy the equati...

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  4. If the direction cosines of two lines are given by l+m+n=0 " and " l^(...

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  5. If the d.c.'s (l, m, n) of two lines are connected by the relations 2l...

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  6. P.T the smaller angle theta between any two diagonals of a cube is giv...

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  7. The angle between a diagonal of a cube and the diagonal of a face of t...

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  8. If a line makes angles alpha, beta, lambda,delta with the four diagon...

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  9. If (6,-2,-3),(1,2,2) are d.r's of two lines then the d.c's of line bis...

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  10. The projection of the join of the points (3, 4, 2), (5, 1, 8) on the l...

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  11. The projection of the line segment joining the origin and the point P ...

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  12. The projection of the join of the two points A(2, 3, 4), B(3, 5, -2) o...

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  13. If the projections of the line segment bar(PQ) on the axes are 3, 4, 1...

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  14. If the projections of a line segment on the axes are 3, -4, 12 then th...

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  15. If the porjections of a line segment on the axes are 2, 1, 2 then the ...

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  16. The projections of a vector on the three coordinate axes are 6, -3, 2 ...

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  17. If A = (-2, 3, 4), B = (-4, 4, 6), C = (4, 3, 5), D = (0, 1, 2) then t...

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  18. If A(2, -1, 4), B(0, 1, 5), C(4, 3, 5), D(6, 4, 3) then the projection...

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  19. If the projection of a line of length d on the coordinate axes are d(...

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  20. If A(3, -1, 11), B(0, 2, 3), C(4, 8, 11) are three points, then the fo...

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