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If bar(a),bar(b),bar(c ) are mutually pe...

If `bar(a),bar(b),bar(c )` are mutually perpendicular unit vectors, then find `[bar(a)bar(b)bar(c )]^(2)`.

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`:.bara,barb,barc` are mutually perpendicular unit vectors in right handed or left handed system.
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If bar(a)=2bar(i)-3bar(j)+5bar(k),bar(b)=-bar(i)+4bar(j)+2bar(k) , then find (bar(a)+bar(b))xx(bar(a)-bar(b)) and unit vector perpendicular to both bar(a)+bar(b)andbar(a)-bar(b)

If bar(a), bar(b), bar(c) are non coplanar, show that the vectors bar(a)+2bar(b)-bar(c), 2bar(a)-3bar(b)+2bar(c), 4bar(a)+bar(b)+3bar(c) are linearly independent.

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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SRISIRI PUBLICATION-PRODUCT OF VECTORS-2 D (VSAQ, SAQ,LAQ)
  1. If |bar(a)| = 2, |bar(b)| = 3, |bar(c )| = 4 and each of bar(a), bar(b...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. If bara,barb" and "barc represent the vertices A,B and C respectively ...

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