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If veca*vecb*vecc not= 0 and vec(a')=(ve...

If `veca*vecb*vecc not= 0` and `vec(a')=(vecbxxvecc)/(veca*vecbxxvecc), vec(b')=(veccxxveca)/(veca*vecbxxvecc),vec(c')=(vecaxxvecb)/(veca*vecbxxvecc)`, show that : `vec(a')*(vec(b')xxvec(c'))=1/(veca*(vecbxxvecc)`.

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If veca*vecbxxvecc= 0 and vec(a')=(vecbxxvecc)/(veca*vecbxxvecc), vec(b')=(veccxxveca)/(veca*vecbxxvecc),vec(c')=(vecaxxvecb)/(veca*vecbxxvecc) , show that : veca*vec(a')+vecb*vec(b')+vecc*vec(c')=3 .

If veca*vecbxxvec=0 and vec(a')=(vecbxxvecc)/(veca*vecbxxvecc), vec(b')=(veccxxveca)/(veca*vecbxxvecc),vec(c')=(vecaxxvecb)/(veca*vecbxxvecc) , show that : veca*vec(a')+vecb*vec(b')+vecc*vec(c')=3 .

It is given that : vecx=(vecbxxvecc)/([vecavecbvecc]),vecy=(veccxxveca)/([vecavecbvecc]) and vecz=(vecaxxvecb)/([vecavecbvecc]) , where veca,vecb,vecc are _____________ vectors.

If veca+vecb+vecc=vec0 , show that vecaxxvecb=vecbxxvecc=veccxxveca .

Show that (veca-vecb)xx(veca+vecb)=2(vecaxxvecb) .

Show that (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb)

If vecaxxvecb=vecbxxvecc ne vec0 , show that veca+vecc=vec(mb) m being a scalar.

Show that |vecaxxvecb|=sqrt(vec(a^2)vec(b^2)-(veca*vecb)^2) .

Show that veca*(vecaxxvecb)=0 for any pair veca,vecb of vectors.

MODERN PUBLICATION-VECTORS-Exercise
  1. For any three vectors veca,vecb,vecc show that veca-vecb,vecb-vecc,vec...

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

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

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

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

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

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

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

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  9. Classify the following measures as scalars and vectors : 40 watt.

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  10. Classify the following measures as scalars and vectors : 10^(-19).

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  11. Classify the following measures as scalars and vectors: 20 m/s

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  12. Classify the following as scalar and vector quantities: time period

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  13. Classify the following as scalar and vector quantities: distance

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  14. Classify the following as scalar and vector quantities: force

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  15. Classify the following as scalar and vector quantities: velocity

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  16. Classify the following as scalar and vector quantities:work done

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  17. In the Fig., identify the following vectors : coinitial.

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  18. In the Fig., identify the following vectors : equal.

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  19. In the Fig., identify the following vectors : collinear but not equal...

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  20. Answer the following ad true or false : veca and -veca are collinear.

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