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Find |vec(a)-vec(b)|, if two vectors vec...

Find `|vec(a)-vec(b)|`, if two vectors `vec(a)` and `vec(b)` are such that `|vec(a)|=2,|vec(b)|=3` and `vec(a).vec(b)=4`.

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The correct Answer is:
`|vec(a)-vec(b)|=sqrt(5)`
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KUMAR PRAKASHAN-VECTOR ALGEBRA -Textbook Illustrations for Practive Work
  1. If vec(a)=5hati-hatj-3hatk and vec(b)=hati+3hatj-5hatk, then show that...

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

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

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

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

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

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

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

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

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

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

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

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  13. Show that the vectors vec(a)=hati-2hatj+3hatk,vec(b)=-2hati+3hatj-4hat...

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  14. If the vectors vec(a)=hati+3hatj+hatk,vec(b)=2hati-hatj-hatk and vec( ...

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  15. If 4hati+5hatj+hatk,-(hatj+hatk),3hati+9hatj+4hatk and 4(-hati+hatj+ha...

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  16. Prove that [vec(a)+vec(b), vec(b)+vec( c ), vec( c )+vec(a)]=2[vec(a)...

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  17. Prove that [vec(a),vec(b),vec( c )+vec(d)]=[vec(a),vec(b),vec( c )]+[v...

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  18. Write all the unit vectors in XY-plane.

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  19. If hati+hatj+hatk,2hati+5hatj,3hati+2hatj-3hatk and hati-6hatj-hatk ar...

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  20. Let vec(a),vec(b) and vec( c ) be three vectors such that |vec(a)|=3,|...

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