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Find a vector in the direction of vector `2 hat i-3 hat j+6 hat k` which has magnitude `21` units.

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To find a vector in the direction of the vector \( \mathbf{A} = 2\hat{i} - 3\hat{j} + 6\hat{k} \) that has a magnitude of 21 units, we can follow these steps: ### Step 1: Identify the given vector The given vector is: \[ \mathbf{A} = 2\hat{i} - 3\hat{j} + 6\hat{k} \] ...
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RD SHARMA-ALGEBRA OF VECTORS-Solved Examples And Exercises
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  2. Write a unit vector in the direction of vec (PQ) where PQ are the poi...

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  3. Find a vector in the direction of vector 2 hat i-3 hat j+6 hat k which...

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  4. It | vec a|=4 and -3 le lambda le 2, then write the range of lambda |v...

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  5. In a triangle DeltaOAC, if B is the mid point of side AC and vec (O A...

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  6. If in a DeltaA B C ,\ A=(0,0),\ B=(3,3sqrt(3)), C-=(-3sqrt(3),3) then ...

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  7. If vec a ,\ vec b are the vectors forming consecutive sides of a reg...

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  8. Forces 3O vec A ,\ 5O vec B act along O A\ a n d\ O B If their resulta...

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  9. If vec a ,\ vec b ,\ vec c are three non-zero vectors, no two which...

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  10. If points A(60 hat i+3 hat j),\ B(40 hat i-8 hat j) and C(a hat i-52 h...

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  11. If G is the intersection of diagonals of a parallelogram A B C D and O...

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  12. The vector cosalpha\ cosbeta hat i+cosalpha\ sinbeta hat j+sinalpha ha...

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  13. In a regular hexagon A B C D E F ,\ vec (AB)=a ,\ vec(B C)= vec b , ...

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  14. The vector equation of the plane passing through vec a ,\ vec b , ve...

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  15. If O\ a n d\ O^(prime) are circumcentre and orthocentre of \ A B C ,\ ...

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  16. If vec a ,\ vec b ,\ vec c and vec d are the position vectors of p...

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  17. Let G be the centroid of \ A B Cdot If vec A B= vec a ,\ vec A C= ve...

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  18. If A B C D E F is a regular hexagon, them vec (A D)+ vec (E B)+ vec (...

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  19. The position vectors of the points A ,\ B ,\ C are 2 hat i+ hat j- hat...

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  20. If three points A ,\ B and C have position vectors hat i+x hat j+3 ha...

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