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if veca=hati+hatj+hatk, vecb=2 hati-hatj...

if `veca=hati+hatj+hatk, vecb=2 hati-hatj+3 hatk` and `vecc=hati-2 hatj+hatk`, find a unit vector parallel to the vector `2 veca-vecb+3 vecc`

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V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Find the value of 'x' for which 'x(hati+hatj+hatk)' is a unit vector.

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  2. Find a vector of magnitude 5 units and parallel to the resultant of th...

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  3. if veca=hati+hatj+hatk, vecb=2 hati-hatj+3 hatk and vecc=hati-2 hatj+h...

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  4. Show that the points A(1,-2,-8),B(5,0,-2)andC(11,3,7)are collinear and...

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

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  6. The two adjacent sides of a parallelogram are '2 hati-4 hatj+5 hatk' a...

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  7. Show that the direction cosines of a vector equally inclined to the ax...

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

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

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

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

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

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

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

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

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

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

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

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

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

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