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If |bar(a)| = 2, |bar(b)| = 3, |bar(c )|...

If `|bar(a)| = 2, |bar(b)| = 3, |bar(c )| = 4` and each of `bar(a), bar(b) , bar(c )` is perpendicular to the sum of the other two vectors, then find the magnitude of `bar(a) + bar(b) + bar(c )`.

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Verified by Experts

The correct Answer is:
`=sqrt(29)`
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SRISIRI PUBLICATION-PRODUCT OF VECTORS-2 D (VSAQ, SAQ,LAQ)
  1. If bar(a) , bar(b) are non-zero vectors such that |bar(a)+bar(b)|^2 =...

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  2. If 4bar(i) + (2p)/3 bar(j)+ pbar(k) is parallel to the vector bar(i) ...

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  3. If |bar(a)| = 2, |bar(b)| = 3, |bar(c )| = 4 and each of bar(a), bar(b...

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  4. bar(a), bar(b) , bar(c ) are pair wise non zero and non collinear vect...

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  5. Find unit vector parallel to the XOY-plane and perpendicular to the ve...

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  6. Find the equation of the plane through the point (3,-2,2) and perpendi...

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  7. For any two vectors bara,barb prove that |bara xx barb|^2 = |bara|^2|b...

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  8. For any three vectors bara,barb,barc prove that [barb+barc barc+bara b...

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  9. If (barb xx barc) xx (barb xx bara) = 3barc, then find [barb xx barc b...

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  10. If bar(a),bar(b),bar(c ) are mutually perpendicular unit vectors, then...

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  11. Show that (bar(a)+bar(b)) . [(bar(b)+bar(c)) xx (bar(c )+bar(a))] = 2[...

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  12. Show that i) baraxx(baraxx(baraxxbarb))=(bara.bara)(barbxxbara) ii...

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  13. If bara, barb, barc, bard are any four vectors then (baraxx barb) xx (...

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  14. Find the value of [bari+barj+bark,bari-barj,bari+2barj-bark].

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  15. By vector method prove that the angle in a semi circle is a right angl...

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  16. In a paralledogram, the sum of the square of the lengths of the diagon...

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  17. The vectors AB = 3i - 2j + 2k and BC = - I - 2k are the adjacent sides...

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  18. Let bara, barb and barc be mutually orthogonal vectors of equal magnit...

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  19. Let bara be perpendicular to both barb,barc. If |bara|=2, |barb|=3, |b...

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  20. bara, barb, barc are three unit vectors, barb is not parallel to barc ...

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