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vec(a) = 2hat(i) - hat(j) + hat(k), vec(...

`vec(a) = 2hat(i) - hat(j) + hat(k), vec(b) = hat(i) - 3hat(j) - 5hat(k)`. Find the vector `vec(c )` such that `vec(a), vec(b) and vec(c)` form the sides of a triangle.

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The correct Answer is:
`barc= -3bari+2barj+4bark`.
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SRISIRI PUBLICATION-PRODUCT OF VECTORS-2 D (VSAQ, SAQ,LAQ)
  1. vec(a) = 2hat(i) - hat(j) + hat(k), vec(b) = hat(i) - 3hat(j) - 5hat(k...

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  2. if bar(a) + bar(b) + bar(c ) = bar(0), |bar(a)| = 3, |bar(b)| = 5, |b...

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  3. If bar(a) xx bar(b) = bar(b) xx bar(c ) != 0, then show that bar(a) + ...

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  4. If bara,barb" and "bara-barb are unit vectors, then what is the angle ...

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  5. If bar(a) , bar(b) are non-zero vectors such that |bar(a)+bar(b)|^2 =...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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