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Find the unit vector in the direction of...

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

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Find the sum of the vectors vec a= hat i-2 hatj + hat k, vec b= -2 hat...

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  2. Find the unit vector in the direction of the vector vec a= hat i+ hatj...

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  3. Find the unit vector in the direction of vector vec(PQ), where P and Q...

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  4. For given vectors, vec a =2 hat i- hat j+2hat k and vec b =-hat i +hat...

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  5. Find a vector in the direction of vector 5veci - vecj + 2veck which ha...

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  6. Show that the vectors 2 hat i -3 hat j +4 hat k and -4 hat i +6 hat j ...

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  7. Find the direction cosines of the vector hat i + 2 hat j+ 3 hat k.

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  8. Find the direction cosines of the vector joining the points A(1,2,-3) ...

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  9. Show that the vector veci+vecj+veck is equally inclined to the axes O...

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  10. Find the position vector of a point R which divides the line joining t...

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  11. Find the position vector of a point R which divides the line joining t...

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

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  13. Show that the points A, B and C with position vectors, vec a= 3hat i-4...

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  14. If vec a and vec b are two collinear vectors then which of the followi...

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  15. Find the angle between two vectors veca and vecb with magnitudes sqrt3...

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  16. Find the angle between the vectors hat i -2 hatj +3 hat k and 3 hat i ...

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  17. Find the projection of the vector hat i - hat j on the vector hat i +...

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  18. Find the projection of the vector hat i +3 hat j +7 hatk on the vector...

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  19. Show that each of the given three vectors is a unit vector : 1/7 (2 ha...

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  20. Find |vec a| and |vec b| lf(veca + vec b)*(vec a-vec b)=8 and |vec a |...

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