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Let veca=hati+2hatjandvecb=2hati+hatj. I...

Let `veca=hati+2hatjandvecb=2hati+hatj`. Is `|veca|=|vecb|`? Are the vectors `vecaandvecb` equal?

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The correct Answer is:
`|vec(a)|=|vec(b)|` but the two vectors are not equal since their corresponding components are distinct.
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KUMAR PRAKASHAN-VECTOR ALGEBRA -Textbook Illustrations for Practive Work
  1. In Fig 10.5 ., which of the vectors are : (i) Collinear (ii) Equ...

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

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  3. Let veca=hati+2hatjandvecb=2hati+hatj. Is |veca|=|vecb|? Are the vect...

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  4. Find a vector in the direction of vector veca=hati-2hatj that has magn...

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  5. Find a vector in the direction of vector veca=hati-2hatj that has magn...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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