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The direction cosines of a vector vecr, ...

The direction cosines of a vector `vecr`, which is equally inclined to `OX, OY` and `OZ` If `|vecr|` is given, the total number of such vectors is given by

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Prove that a necessary and sufficient condition for three vectors ...

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  2. Show that the four points A ,B , Ca n dD with position vectors ...

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  3. The direction cosines of a vector vecr, which is equally inclined to O...

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  4. Can a vector have direction angles 45^0,60^0,120^0

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  5. Prove that 1,1,1 cannot be direction cosines of a straight line.

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  6. A vector makes an angle of pi/4 with each of x-a xi s and y-a xi sd...

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  7. A vector vec r is inclined at equal acute angles of x-axis , y-axi ...

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  8. A vector vec r\ is inclined to x-axis at 45^0 and y-axis at 60^0dot ...

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  9. Find the direction cosines of the following vectors: 2 hat i+2 hat...

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  10. Find the direction cosines of the following vectors: 2 hat i+2 hat...

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  11. Find the direction cosines of the following vectors: 2 hat i+2 hat...

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  12. Find the angles at which the following vectors are inclined to each ...

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  13. Find the angles at which the following vectors are inclined to each ...

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  14. Find the angles at which the following vectors are inclined to each ...

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  15. Show that the vector i+j+k is equally inclined with the axes O X ,\ O ...

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  16. Show that the direction cosines of a vector equally inclined to the ...

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  17. If a unit vector vec a makes an angle pi/3 with hat i ,\ pi/4 with ...

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  18. Find a vector vec r of magnitude 3sqrt(2) units which makes an angle ...

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  19. A vector vecr is inclined at equal angle to the three axes. If the ma...

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  20. Define zero vector.

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