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Let veca, vecb, vecc be three vectors su...

Let `veca, vecb, vecc` be three vectors such that `|veca| = 3, |vecb| = 4, |vecc| = 5` and each one of them being perpendicular to the sum of the other two, find `|veca+vecb+vecc|`

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The correct Answer is:
`sqrt(50)`
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If |veca| =3, |vecb| =4 and |vecc| =5 and each of them is perpendicular to the sum of other two then find the value of |veca+vecb+vecc|

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If veca,vecb,vecc are three non-zero vectors such that each one of these is perpendicular to the sum of the other two vectors, then the value of |veca+vecb+vecc|^2 is :

Let veca,vecb,vecc be the three vectors of magnitude 5, 3, I respectively. If each one is perpendicular to the sum of other two vectors, prove that |veca+vecb+vecc| = sqrt35 .

If veca = vecb + vecc , then is it true that |veca| = |vecb| + |vecc| ? Justify your answer.

Let veca,vecb and vecc be three vectors of magnitude 3,2,5 respectively. If each one is perpendicular to the sum of other two vectors, prove that : |veca+vecb+vecc|=sqrt(38) .

If veca and vecb are two vectors such that |veca+vecb|=|veca| , then prove that the vector 2veca+vecb is perpendicular to vector vecb .

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OMEGA PUBLICATION-VECTOR ALGEBRA -MULTIPLE CHOICE QUESTIONS (MCQs)
  1. Let veca, vecb, vecc be three vectors such that |veca| = 3, |vecb| = 4...

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  2. Prove that in any triangle ABC , c = a cos(360-B) + b cos(360-A)

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  3. If veca and vecb are two collinear vectors, then which of the followin...

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  4. If a is a non-zero vector of magnitude V a is a non-zero scalar, then ...

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  5. Let the vectors veca and vecb be such that |veca|=3 and |vecb|=(sqrt2)...

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  6. Area of a rectangle having vertices : A(-hati+1/2 hatj+4hatk),B(hati+1...

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  7. If theta is the angle between two vectors veca and vecb, then veca c...

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  8. Let veca and vecb be two unit vectors and theta is the angle between t...

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  9. If (hati,hatj,hatk) are the usual three perpendicular unit vectors, th...

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  10. Using vectors, find the area of the triangle having vertices A (1, 1, ...

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  11. the angle between vectors veca × vecb and vecb × veca is

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  12. Show that the area of the parallelogram with diagonals veca and vecb, ...

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  13. The area of triangle having adjacent sides veca and vecb is :

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  14. The value of : hati*(hatjxxhatk)+hatj*(hatixxhatk)+hatk*(hatixxhatj) i...

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

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  16. If veca*vecb=-|veca||vecb|, then theta=

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  17. The projection of the vector veca=2hati+3hatj+2hatk on the vector vecb...

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  18. The product of veca.vecb equals to:

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  19. The product of veca.vecb equals to:

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  20. The vectors a and b are perpendicular, if

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  21. If veca xx vecb=|veca||vecb| sin theta hatn which one is correct

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