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`bar(a), bar(b) , bar(c )` are pair wise non zero and non collinear vectors. If `bar(a) + bar(b)` is collinear with `bar(c ) and bar(b) + bar(c )` is collinear with `bar(a)` then find vector `bar(a) + bar(b) + bar(c )`.

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The correct Answer is:
`bara+barb+barc = bar0`.
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SRISIRI PUBLICATION-PRODUCT OF VECTORS-2 D (VSAQ, SAQ,LAQ)
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  2. If |bar(a)| = 2, |bar(b)| = 3, |bar(c )| = 4 and each of bar(a), bar(b...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Let overlinea and overlineb be vectors, satisfying |overlinea|=|overli...

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