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If veca, vecb, vecc are mutually perpend...

If `veca, vecb, vecc` are mutually perpendicular vectors of equal magnitudes, show that the vector `veca+vecb+vecc` is equally inclined to `veca, vecb` and `vecc`

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V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Let ' veca=hati+4 hatj+2 hatk, vecb=3 hati-2 hatj+7 hatk' and 'vecc=2 ...

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  2. The scalar product of the vector hati+hatj+hatk with a unit vector alo...

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  3. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

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  4. Prove that (veca+vecb).(veca+vecb)=|veca|^2+|b|^2 if and only if veca...

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  5. Choose the correct answer. If theta is the angle between two vectors v...

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  6. Let 'veca' and 'vecb' be two unit vectors and 'theta' is the angle bet...

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  7. The value of hati.(hatj xx hatk)+hatj.(hati xx hatk)+hatk.(hati xx hat...

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  8. If theta is the angle between any two vectors veca and vecb, then |vec...

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  9. Prove that the Iine joining the midpoints of the two sides of a triang...

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

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  11. Show that the line segment joining the midpoints of two 'sides of a t...

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  12. If P=(2,4,7) and Q=(-4,-1,5), then find bar(PQ) and |bar(PQ)|

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  13. i) Compute |hati+hatj+hatk| ii) If veca=2 hati+3 hatj+6 hatk, find th...

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  14. Find a vector in the direction of the vector '-hati+2 hatj+2 hatk' tha...

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  15. Find a unit vector parallel to the sum of vectors veca=2 hati+4 hatj-5...

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  16. Find the condition that the vectors veca=k hati+3 hatj and vecb=4 hati...

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  17. Lẹt 0 be the centre of the regular hexagon ABCDEF. Find the sum of the...

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  18. Show that the diagonals of a quadrilateral bịsect each other if and on...

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  19. Prove that the quadrilatral formed by joining the mid points of the si...

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  20. Find the vector with initial point 'A(6,-2)' and terminal point 'B(4,8...

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