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

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

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

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

Let the vectors veca, vecb, vecc be given as veca_1hati + veca_2hatj + veca_3hatk, vecb_1hati + vecb_2hatj + vecb_3hatk, vecc_1hati+vecc_2hatj + vecc_3hatk . Then show that vecaxx(vecb+vecc) = vecaxxvecb + vecaxxvecc

If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(veccxxvecd)=1 and veca.vecc=1/2, then

For non-zero vectors veca, vecb and vecc , |(veca xx vecb) .vecc| = |veca||vecb||vecc| holds if and only if

If veca=2hati-hatj+hatk , vecb=hati+3hatj-2hatk and vecc=3hati+hatj-hatk then show that (veca×vecb).vecc=veca.(vecb×vecc)

If veca,vecb and vecc are non coplanar and unit vectors such that vecaxx(vecbxxvecc)=(vecb+vecc)/sqrt2 then the angle between veca and vecb is

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

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MODERN PUBLICATION-VECTORS-Exercise
  1. Prove that veca*((vecb+vecc)xx(veca+vecb+vecc))=0.

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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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