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If vecA,vecB,vecC are mutually perpendic...

If `vecA,vecB,vecC` are mutually perpendicular show that `vecCxx(vecAxxvecB)=0`. Is the converse true?

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Given that, `vecA.vecB and vecC` are mutually perpendicular `vecAxxvecB` is a vector with direction perpendicular to their plane containing `vecA and vecB`

Angle between` vecC` and `vecAxxvecB` is `0^@` or `180^@` .
So, `vecC(vecAxxvecB)=0` The converse is not true. For example, if two of the vectors are parallel [ 2]
then else `vecCxx(vecAxxvecB)=0` So, they need not be mutually perpendicular.
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HC VERMA-PHYSICS AND MATHEMATICS-Exercises
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  2. If veca=2veci+3vecj-4veck and vecb =5veci+2vecj+4veck, find the angle...

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

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

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

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

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

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

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

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

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

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

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

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

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