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Find the unit vector in the direction...

Find the unit vector in the direction of the vector ` vec a= hat i9+ hat j+` 2` hat k` .

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The correct Answer is:
`(1)/(sqrt(6))hat(i)+(1)/(sqrt(6))hat(j)+(2)/(sqrt(6))hat(k)`
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MODERN PUBLICATION-VECTOR ALGEBRA -EXERCISE 10 (c ) Short Answer Type Questions
  1. Find the magnitude of the vector : hat(i)-3hat(j)+4hat(k).

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  2. Find the values of 'x' for which x(hat(i)+hat(j)+hat(k)) is a unit vec...

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  3. Find the unit vector in the direction of the vector vec a= hat i9+...

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  4. Find the unit vector in the direction of the vector : vec(a)=2hat(i)...

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  5. Find the unit vector in the direction of the vector : vec(a)=3hat(i...

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  6. Find the unit vector in the direction of the vector : vec(b)=2hat(i...

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  7. Find the unit vector in the direction of the vector : vec(a)=2hat(i...

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  8. Find the unit vector in the direction of the vector : vec(a)=2hat(i...

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  9. Find the unit vector in the direction of vector -> P Q , where ...

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  10. Find x and y for which the vectors 2hati+3hatj and xhati+yhatj are equ...

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  11. Find the values of x, y and z so that the vectors -> a=x hat i+2 hat ...

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

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  13. Show that the vector hat i+ hat j+ hat k is equally inclined with the...

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  14. For given vectors, -> a=2 hat i- hat j+2 hat kand -> b=- hat i+ hat...

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  15. A and B are two points with position vectors 2vec(a)-3vec(b) and 6vec(...

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  16. P and Q are two points with position vectors 3 vec a-2 vec b and v...

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  17. X and Y are two points with position vectors 3vec(a)+vec(b) and vec(a)...

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  18. Find the position vector of the mid-point of the vector joining point ...

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  19. Find the position vector of the mid point of the ne segment A B ,\ wh...

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  20. Find a vector in the direction of the vector 5 hat i - hat j + 2 h...

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