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Show that the direction cosines of a vec...

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

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MODERN PUBLICATION-VECTORS-Exercise
  1. If veca = vecb + vecc, then is it true that |veca| = |vecb| + |vecc|?...

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  2. Find the direction cosines of the vector hati+2hatj+3hatk

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

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

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  5. For given vectors,veca=2hati-hatj+2hatk and vecb=-hati+hatj-hatk , fin...

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  6. A and B are two points with position vectors 2veca-3vecb and 6vecb-vec...

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  7. P and Q are two points with position vectors 2veca+2vecb and veca +vec...

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  8. Consider two points P and Q with position vectors vec(OP) = 3veca-2vec...

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  9. Find the position vector of the mid point of the vector joining the po...

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  10. Find the position vector of mid point of the line segment AB where A i...

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  11. Find a vector in the direction of : veca=3hati-hatj+2hatk, which has m...

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  12. Find a vector in the direction of : hati-2hatj+2hatk, which has magnit...

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  13. Find a vector in the direction of : -2hati+hatj+2hatk, which has magni...

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  14. Find the scalar components and magnitude of the vector joining the poi...

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  15. If |veca|=3, what is |5veca|.

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  16. If |veca|=3, what is : |-2veca|.

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  17. If |veca|=3, what is : |0veca|?

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  18. If veca =3hati-2hatj+hatk,vecb=2hati-4hatj-3hatk, find |veca-2vecb|.

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  19. Let a. =hati+2hatj and vecb =2hati+hatj. Is |veca |=|vecb |? Are the v...

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  20. Find the vector with initial point P(-4,2) and terminal point Q(0,-4).

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