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Find the area of a parallelogram whose adjacent sides are given by the vectors `veca=3 hati+hatj+4 hatk` and `vecb=hati-hatj+hatk`

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V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Find a unit vector perpendicular to each of the vectors (veca +vecb) a...

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  2. Consider the triangle ABC with vertices A(1,1,1), B(1,2,3) and C(2,3,1...

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  3. Find the area of a parallelogram whose adjacent sides are given by the...

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  4. Find |veca xx vecb|, if. veca=hati-7 hatj+7 hatk and vecb=3 hati-2 h...

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  5. Find a unit vector perpendicular to each of the vector veca+vecb, and ...

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  6. Choose the correct answer from the backet. If a unit vector hata makes...

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  7. Show that (veca-vecb) xx(veca+vecb)=2(veca xx vecb)

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  8. Find lambdaand mu if (2overset^^i+6overset^^j+27overset^^k)xx(overset^...

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  9. Given that oversetrarra.oversetrarrb=0"and"oversetrarraxxoversetrarrb=...

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  10. Let the vectors 'veca, vecb, vecc' be given as 'a1 hati+a2 hatj+a3 hat...

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  11. If either veca=vec0"or" vecb =vec0, "then"vecaxxvecb=vec0.Is the conve...

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  12. Find the area of the triangle with vertices A(1,1,2),B(2,3,5) and C(1,...

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  13. Find the area of the parallelogram whose adjacent sides are determined...

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  14. Let the vectorsveca"and"vecbbe such that |veca|=3"and"|vecb|=sqrt2/3,...

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  15. Area of a rectangle having vertices 'A, B, C' and 'D' with position ve...

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  16. If hati+hatj+hatk, 2 hati+5 hatj, 3 hati+2 hatj-3 hatk and hati-6 hatj...

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  17. Let veca,vecb, " and " vecc be three vectors such that |veca|=3,|vecb|...

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  18. Three vectors veca,vecb,"and" vecc satisfy the conditionveca+vecb+vecc...

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  19. Write down a unit vector in XY plane making an angle of 30^@ with the...

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  20. Find the scalar components and magnitude of the vector joining the poi...

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