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Prove that {(vecb+vecc)xx(vecc+veca)}.(v...

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

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Prove that veca*((vecb+vecc)xx(veca+vecb+vecc))=0 .

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

Simplify : {(vecb+vecc)xx(vecc+veca))}odot(veca+vecb)

prove that : [veca+vecb,vecb+vecc,vecc+veca]=2[veca,vecb,vecc]

Let veca and vecc be unit vectors inclined at pi//3 with each other. If (veca xx (vecb xx vecc)). (veca xx vecc)=5 , then [vecavecbvecc] is equal to

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

If veca,vecb,vecc are any three vectors then prove that. vecaxx(vecb+vecc)+vecbxx(vecc+veca)+veccxx(veca+vecb)=0

If veca and vecb are two vectors , then prove that (vecaxxvecb)^(2)=|{:(veca.veca" ",veca.vecb),(vecb.veca" ",vecb.vecb):}|

If veca,vecb,vecc are three vectors such that vecaxxvecb=vecc,vecbxxvecc=veca , prove that veca,vecb,vecc are mutually at right angles and |vecb|=1,|vecc|=|veca| .

Prove that |vecaxxvecb|^2=|veca|^2|vecb|^2-(veca*vecb)^2=|:[veca*veca veca*vecb],[veca*vecb vecb*vecb]:| .

MODERN PUBLICATION-VECTORS-Exercise
  1. What can you conclude about four non-zero vectors veca,vecb,vecc and v...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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