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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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PSEB-VECTOR ALGEBRA-Exercise
  1. Find the sum of the vectors veca = veci-2vecj+veck, vecb = -2veci+4vec...

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  2. Find the unit vector in the direction of the vector veca = veci+vecj+2...

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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, veca = 2veci - vecj + 2veck, vecb = -veci + vecj - ...

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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 2veci-3vecj+4veck, -4veci+6vecj-8veck are collin...

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  7. Find the direction cosines of the vector veci+2vecj+3veck ।

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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, veca=3veci-4ve...

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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 veca=hati-2hatj+3hatk and vecb=3hat...

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  17. Find the projection of the vector hati + hatj on the vector hati -hatj

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  18. Find the projection of the vector veci + 3vecj + 7veck on the vector ...

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  19. Show that the given vector is a unit vector: (1/7)(2hati + 3hatj + 6h...

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  20. Show that the given vector is a unit vector: (1/7)(3hati - 6hatj + 2h...

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