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Show that the vector veci+vecj+veck is ...

Show that the vector `veci+vecj+veck` is equally inclined to the axes OX, OY and OZ.

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Show that the vector hat i+hat j+hat k is equally inclined to the axes.

Show that the direction cosines of a vector equally inclined to the axes OX, OY and OZ are (1/sqrt3), (1/sqrt3), (1/sqrt3)

If vec a, vec b ,vec c are mutually perpendicular vectors of equal magnitudes, show that the vector vec a+ vec b + vec c is equally inclined to vec a, vec b and vec c .

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Find the direction cosines of the vector hat i + 2 hat j+ 3 hat k.

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  2. Find the direction cosines of the vector joining the points A(1,2,-3) ...

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  3. Show that the vector veci+vecj+veck is equally inclined to the axes O...

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  4. Find the position vector of a point R which divides the line joining t...

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  5. Find the position vector of a point R which divides the line joining t...

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  6. Find the position vector of the mid-point of the vector joining the po...

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  7. Show that the points A, B and C with position vectors, vec a= 3hat i-4...

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  8. If vec a and vec b are two collinear vectors then which of the followi...

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  9. Find the angle between two vectors veca and vecb with magnitudes sqrt3...

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  10. Find the angle between the vectors hat i -2 hatj +3 hat k and 3 hat i ...

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  11. Find the projection of the vector hat i - hat j on the vector hat i +...

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  12. Find the projection of the vector hat i +3 hat j +7 hatk on the vector...

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  13. Show that each of the given three vectors is a unit vector : 1/7 (2 ha...

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  14. Find |vec a| and |vec b| lf(veca + vec b)*(vec a-vec b)=8 and |vec a |...

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  15. Evaluate the product (3 vec a-5 vec b)*(2 vec a+7 vec b).

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  16. Find the magnitude of two vectors veca and vecb, having the same magni...

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  17. If vec a =2 hat i + 2 hat j +3 hat k, vec b=-hat i + 2 hat j +hat k t...

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  18. Show that |vec a|vec b + |vec b|vec a perpendicular to |vec a|vec b - ...

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  19. If |a|=5,|a-b|=8 and |a+b|=10, then |b| is equal to

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  20. If vec a, vec b, vec c are unit vectors such that vec a+ vec b+ vec c ...

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