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Let veca=hati+hatj+hatk, vecb=hati and v...

Let `veca=hati+hatj+hatk, vecb=hati` and `vecc=c_1hati+c_2hatj+c_3hatk`. Then : if `c_1=1` and `c_2=2` find `c_3` which makes `veca` ,` vecb` , `vecc` coplanar.

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MODERN PUBLICATION-VECTORS-Exercise
  1. Find the volume of the parallelopiped whose sides are given by the vec...

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  2. Find the volume of the parallelopiped whose sides are given by the vec...

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  3. Let veca=hati+hatj+hatk, vecb=hati and vecc=c1hati+c2hatj+c3hatk. Then...

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  4. Find the volume of the parallelopiped with coteminous edges AB,AC and ...

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  5. Prove that for any two vectors veca and vecb,veca*(vecaxxvecb)=0. Is v...

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  6. If veca,vecb,vecc are perpendicular to each other, prove that [veca....

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  7. What can you conclude about four non-zero vectors veca,vecb,vecc and v...

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  8. Simplify : (vecb+vecc)*{(vecc+veca)xx(veca+vecb)}.

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  9. Prove that {(vecb+vecc)xx(vecc+veca)}.(veca+vecb)=2[veca,vecb,vecc]

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  10. Prove that {(vecb+vecc)xx(vecc+veca)}.(veca+vecb)=2[veca,vecb,vecc]

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  11. Simplify : {(vecb-vecc)xx(vecc-veca)}odot(veca-vecb)

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  12. Simplify : [veca-vecb,vecb-vecc,vecc-veca].

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  13. For any three vectors veca,vecb,vecc show that veca-vecb,vecb-vecc,vec...

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  14. If veca*vecbxxvec=0 and vec(a')=(vecbxxvecc)/(veca*vecbxxvecc), vec(b'...

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  15. If veca*vecb*vecc not= 0 and vec(a')=(vecbxxvecc)/(veca*vecbxxvecc), v...

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  16. If veca*vecbxxvecc= 0 and vec(a')=(vecbxxvecc)/(veca*vecbxxvecc), vec(...

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  17. Represent graphically a displacement of 40 km, 30^o east of north.

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  18. Classify the following measure as scalar and vector: 10 Kg

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  19. Classify the following measures as scalars and vectors : 2 meters nort...

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  20. Classify the following measure as scalar and vector: 40^o

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