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Find a vector of magnitude 5 units and p...

Find a vector of magnitude 5 units and parallel to the resultant of the vectors `veca=2overset^^i+3overset^^j-overset^^k "and "vecb=overset^^i-2overset^^j+overset^^k`.

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Find the angle between the vectors overset^^i-2overset^^j+3overset^^k"and"3overset^^i-2overset^^j+overset^^k.

Show that the vectors 2overset^^i-3overset^^j+4overset^^k"and " -4overset^^i+6overset^^j-8overset^^k are collinear.

Find the angle between the vectors " " oversetrarra=overset^^i+overset^^j-overset^^k " and "oversetrarrb=overset^^i-overset^^j+overset^^k

Find the area of the parallelogram whose adjacent are determined by the vectors veca=overset^^i-overset^^j+3overset^^k "and"vecb=2overset^^i-7overset^^j+overset^^k .

A vector of magnitude 7 units, parallel to the resultant of the vectors a=2i-3j-2k and b=-i+2j+k , is

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Find aunit vector along the sum of the vectors oversetrarra = overset^^i-3overset^^k "and"oversetrarrb =2overset^^i+5overset^^j-3overset^^k?

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Find the projection of the vector oversetrarra =2overset^^i+overset^^j -3 overset^^k on the vector. oversetrarrb =-overset^^i+3overset^^j-overset^^k

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V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. If 'veca=vecb+vecc', then is it true that '|veca|=|vecb|+|vecc| ?' Jus...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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