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Find the value of x for which x(hati + h...

Find the value of x for which `x(hati + hatj + hatk)` is a unit vector.

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MODERN PUBLICATION-VECTORS-Exercise
  1. Compute the magnitude of the following vectors: vecc=(1/sqrt3)veci+(1/...

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  2. Find the magnitude of the vector hati-3hatj+4hatk.

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  3. Find the value of x for which x(hati + hatj + hatk) is a unit vector.

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  4. Find the unit vector in the direction of the vector veca=hati+hatj+2ha...

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  5. Find the unit vector in the direction of the vector : veca =2hati+3hat...

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  6. Find the unit vector in the direction of the vector : veca =3hati+2hat...

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  7. Find the unit vector in the direction of the vector : vecb =2hati+hatj...

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  8. Find the unit vector in the direction of the vector : veca =2hati-3hat...

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  9. Find the unit vector in the direction of vector vec(PQ, where P and Q ...

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  10. Find the values of x and y so that the vectors 2veci+3vecj and xveci+y...

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  11. Find the values of x,y and z so that the vectors : veca=xhati+2hatj+zh...

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

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  13. If veca = vecb + vecc, then is it true that |veca| = |vecb| + |vecc|?...

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

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

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

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

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

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

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

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