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The scalar product of the vector hati+ha...

The scalar product of the vector `hati+hatj+hatk` with a unit vector along the sum of vectors `2 hati+4 hatj-5 hatk` and `lambda hati+2 hatj+3 hatk` is equal to one. Find the value of `lambda`

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V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Show that the direction cosines of a vector equally inclined to the ax...

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  2. Let ' veca=hati+4 hatj+2 hatk, vecb=3 hati-2 hatj+7 hatk' and 'vecc=2 ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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