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Write the direction ratio's of the vec...

Write the direction ratio's of the vector `veca=hati+hatj-2hatk` and hence calculate its direction cosines.

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The correct Answer is:
The direction cosines are `((1)/(sqrt(6)),(1)/(sqrt(6)),-(2)/(sqrt(6)))`
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KUMAR PRAKASHAN-VECTOR ALGEBRA -Textbook Illustrations for Practive Work
  1. Find a vector in the direction of vector veca=hati-2hatj that has magn...

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  2. Find the unit vector in the direction of the sum of vectors , veca=2ha...

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  3. Write the direction ratio's of the vector veca=hati+hatj-2hatk and ...

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  4. Find the vector joining the points P(2,3,0) and Q(-1,-2,-4) directed ...

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  5. Consider two points P and Q with position vectors vec(OP)=3hata-2vec(b...

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  6. Show that the points A(2hati-hatj+hatk),B(hati-3hatj-5hatk),C(3hati-4...

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  7. Find the angle between two vectors vecaandvecb with magnitudes 1 and 2...

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  8. Find angle theta between the vectors veca=hati+hatj-hatkandvecb=hati-h...

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  9. If vec(a)=5hati-hatj-3hatk and vec(b)=hati+3hatj-5hatk, then show that...

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  10. Find the projection of the vector veca=2hati+3hatj+2k on the vector v...

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  11. Find |vec(a)-vec(b)|, if two vectors vec(a) and vec(b) are such that |...

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  12. If vec(a)is a unit vector and (vec(x)-vec(a)).(vec(x)+vec(a))=8 then f...

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  13. For any two vectors vecaandvecb , we always have |veca*vecb|le|veca||v...

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  14. For any two vectors vec(a) and vec(b), we always have |vec(a)+vec(b)|l...

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  15. Show that the points A(-2hati+3hatj+5hatk),B(hati+2hatj+3hatk)andC(7ha...

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  16. Find |vecaxxvecb|, if veca=2hati+hatj+3hatk and vecb=3hati+5hatj-2hatk

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  17. Find a unit vector perpendicualr to each of the vectors (vec(a)+vec(b)...

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  18. Find the area of atriangle having the points A(1,1,1), B (1,2,3) and C...

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  19. Find the area of a parallelogram whose adjacent sides are given by the...

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  20. If vec(a)=2hati+hatj+3hatk,vec(b)=-hati+2hatj+hatk and vec( c )=3hati+...

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