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If veca,vecb,vecc are perpendicular to e...

If `veca,vecb,vecc` are perpendicular to each other, prove that
`[veca.(vecbxxvecc)]^(2)=a^(2)b^(2)c^(2)`

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MODERN PUBLICATION-VECTORS-Exercise
  1. Find the volume of the parallelopiped with coteminous edges AB,AC and ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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