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Prove that vecA.(vecAxxvecB)=0...

Prove that `vecA.(vecAxxvecB)=0`

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`vecA(vecAxxvecB)=0`(claim)
As `vecAxxvecB=AB sin theta hatn
`is a vector which is perpendicular to the place containing `vecA and vecB
` this implies that it is also perpendicular to `vecA`. As dot product of two perpendicular vector is zero. `vecA.(vecAxxvecB)=0`
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HC VERMA-PHYSICS AND MATHEMATICS-Exercises
  1. Let A1 A2 A3 A4 A5 A6 A1 be a regular hexagon. Write the x-components ...

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  2. If veca=2veci+3vecj-4veck and vecb =5veci+2vecj+4veck, find the angle...

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  3. Prove that vecA.(vecAxxvecB)=0

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  4. If veca=2veci+3vecj-4veck and vecb =5veci+2vecj+4veck, find the angle...

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  5. If vecA,vecB,vecC are mutually perpendicular show that vecCxx(vecAxxve...

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  6. A particle moves on a given straight line with a constant speed v. At ...

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  7. The force on a charged particle due to electric and magnetic fields is...

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  8. Give an example for which vecA.vecB=vecC.vecB but vecA!=vecC.

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  9. If y= sin x and x changes from pi/2 to pi, the approximate change in y...

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  10. The electric curren in a charging R-C circuit is given by i=i0e^(-t/RC...

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  11. The electric current in a discharging R-C circuit is given by i=i0e^(-...

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  12. Find the area bounded under the curve y=3x^2+6x+7 X-axis with the ordi...

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  13. Find the area enclosed the curve y=sin x and the X-axis between x=0 an...

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  14. Find the area bounded by the curve x=7 -6y-y^2.

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  15. A rod of length L is placed along the X-axis between x=0 and x=L. The ...

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  16. The momentum p of a particle changes with the t according to the relat...

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  17. The changes in a function y and the independent variable x are related...

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  18. Write the number of significant digits in a 1001, b. 100.1, c.100.10 d...

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  19. A metre scale is graduated at every millimetre. How many significant d...

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