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Find the position vector of the mid poin...

Find the position vector of the mid point of the ne segment `A B ,\ ` where `A` is the point (3, 4, -2) and B is the point (1, ,2 4).

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The correct Answer is:
`hat(i)+3hat(j)+hat(k)`.
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MODERN PUBLICATION-VECTOR ALGEBRA -EXERCISE 10 (c ) Short Answer Type Questions
  1. X and Y are two points with position vectors 3vec(a)+vec(b) and vec(a)...

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

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

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

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

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

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

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

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

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

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  11. If |vec(a)|=3, what is : |0vec(a)| ?

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  12. If vec(a)=3hat(i)-2hat(j)+hat(k), vec(b)=2hat(i)-4 hat(j)-3 hat(k), fi...

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  13. Let vec(a) be a given vector whose initial point is P(x(1), y(1)) and ...

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  14. In the following, find the components of the vector vec(PQ) along x an...

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  15. If the position vectors of the points A and B are : 7hat(i)+3hat(j)-ha...

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  16. Find the position vector of the centroid of the Delta ABC when the pos...

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  17. Show that the vectors vec(a)=2hat(i)+3hat(j) and vec(b)=4hat(i)+6hat(...

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  18. Find a unit vector in the direction of (vec(a)+vec(b)), where : vec(a)...

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  19. If vec(a)=2hat(i)-hat(j)+2hat(k) and vec(b)=6hat(i)+2hat(j)+3hat(k), ...

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  20. Find the unit vector in the direction of vec(a)-vec(b), where : ve...

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