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Write down a unit vector in XY plane mak...

Write down a unit vector in XY plane making an angle of `30^@`
with the positive direction of x-axis.

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V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Let veca,vecb, " and " vecc be three vectors such that |veca|=3,|vecb|...

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

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

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

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  5. If 'veca=vecb+vecc', then is it true that '|veca|=|vecb|+|vecc| ?' Jus...

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  6. Find the value of 'x' for which 'x(hati+hatj+hatk)' is a unit vector.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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