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Find the unit vector in the direction...

Find the unit vector in the direction of vector ` -> P Q` , where P and Q are the points (1, 2, 3) and (4, 5, 6), respectively.

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The correct Answer is:
`(1)/(sqrt(3))(hat(i)+hat(j)+hat(k))`.
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MODERN PUBLICATION-VECTOR ALGEBRA -EXERCISE 10 (c ) Short Answer Type Questions
  1. Find the unit vector in the direction of the vector : vec(a)=2hat(i...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Find a vector in the direction of vec a=2 hat i- hat j+2 hat k , whic...

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  16. Find a vector in the direction of : vec(a)=hat(i)-2hat(j)+2hat(k),...

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  17. Find a vector in the direction of : vec(a)=-2hat(i)+hat(j)+2hat(k)...

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  18. Find the scalar components and magnitude of the vector joining the po...

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  19. If |vec(a)|=3, what is : |5vec(a)|

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  20. If |vec(a)|=3, what is : |-2vec(a)|

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