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Simplify : [veca-vecb,vecb-vecc,vecc-vec...

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

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For any three vectors veca,vecb,vecc show that veca-vecb,vecb-vecc,vecc-veca are coplanar.

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

If veca, vecb and vecc are position vectors of A,B, and C respectively of DeltaABC and if|veca-vecb|,|vecb-vec(c)|=2, |vecc-veca|=3 , then the distance between the centroid and incenter of triangleABC is

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

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

If veca,vecb,vecc are unit vectors such that veca+vecb+vecc=vec0 , find the value of veca*vecb+vecb*vecc+vecc*veca .

If veca,vecb,vecc are three vectors such that : |veca|=5,|vecb|=12 and |vecc|=13 and veca+vecb+vecc=vec0 , find the value of veca*vecb+vecb*vecc+vecc*veca .

If veca + vecb + vecc = 0 and |veca|=3,|vecb|= 5,|vecc|=7,then find the value of veca.vecb + vecb.vecc + vecc.veca .

If the vectors veca,vecb and vecc satisfy the condition veca+vecb+vecc=vec0 and |veca|=2,|vecb|=4 and |vecc|=3 , then find the value of veca*vecb+vecb*vecc+vecc*veca .

MODERN PUBLICATION-VECTORS-Exercise
  1. Prove that {(vecb+vecc)xx(vecc+veca)}.(veca+vecb)=2[veca,vecb,vecc]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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