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Find a unit vector perpendicualr to each...

Find a unit vector perpendicualr to each of the vectors `(vec(a)+vec(b))` and `(vec(a)-vec(b))`, where `vec(a)=hati+hatj+hatk,vec(b)=hati+2hatj+3hatk`.

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The correct Answer is:
The required unit vector is `(-1)/(sqrt(6))hati+(2)/(sqrt(6))hatj-(1)/(sqrt(6))hatk`
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KUMAR PRAKASHAN-VECTOR ALGEBRA -Textbook Illustrations for Practive Work
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  10. If vec(a)=2hati+hatj+3hatk,vec(b)=-hati+2hatj+hatk and vec( c )=3hati+...

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

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

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

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

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

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

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  19. Three vectors vec(a),vec(b) and vec( c ) satisfy the condition vec(a...

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  20. If with reference to the right handed system of mutually perpendicular...

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