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Let veca,vecb,vecc represent the vectors...

Let `veca,vecb,vecc` represent the vectors `vec(BC),vec(CA)` and `vec(AB)` respectively. Show that `vecaxxvecb=vecbxxvecc=veccxxveca` and deduce the rule of sines of the triangle.

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Let veca,vecb and vecc represent vectors vec(BC),vec(CA) and vec(AB) in triangleABC respectively. Show that : vecaxxvecb=vecbxxvecc=veccxxveca .

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

Let veca,vecb and vecc represent vectors vec(BC),vec(CA) and vec(AB) in triangleABC respectively s.t. veca+vecb+vecc=vec0 ,. Show that : vecaxxvecb=vecbxxvecc=veccxxveca .

If veca+vecb+vecc=vec0 show that vecaxxvecb=vecbxxvecc=veccxxveca . Interpret the result geometrically.

If veca,vecb,vecc are position vectors of non-collinear points A,B and C respectively, show that : vecaxxvecb+vecbxxvecc+veccxxveca is perpendicular to the plane ABC.

If veca,vecb,vecc are mutually perpendicular unit vectors and vecaxxvecb=vecc , show that vecb=veccxxveca and veca=vecbxxvecc .

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

If veca+vecb+vecc=vec0 , show that vecaxxvecb=veccxxveca . Interpret the result geometrically.

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MODERN PUBLICATION-VECTORS-Exercise
  1. Let veca,vecb,vecc represent the vectors vec(BC),vec(CA) and vec(AB) r...

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  2. Represent graphically a displacement of 40 km, 30^o west of south.

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  3. Represent the following graphically a displacement of : 40 km, 30^@ ea...

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  4. Represent the following graphically a displacement of : 40 km, 30^@ ea...

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

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

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  7. Classify the following measure as scalar and vector: 2 meters north-w...

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

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  9. Classify the following measure as scalar and vector: 10^(-19)coulomb

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  10. Classify the following measure as scalar and vector: 20 m/s^2

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  11. Classify the following measures as scalars and vectors: 1000 cm^3

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  12. Classify the following measures as scalars and vectors: 10 N

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  13. Classify the following measures as scalars and vectors: 30 km/h

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

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

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

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

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

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  19. In the figure identify the following vectors : Co-initial.

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  20. In the figure identify the following vectors : Equal.

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  21. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

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