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If vecA=2veci+3vecj+4veck and vecB=4veci...

If `vecA=2veci+3vecj+4veck and vecB=4veci+3vecj+2veck, find vecAxxvecB`.

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Verified by Experts

The correct Answer is:
`-6hati+12hatj-6hatk`
`vecA=2hati+3hatj+4hatk
vecB=4hati+3hatj+2hatk, vecAxxvecB=|(hati, hatj, hatk),(2,3,4),(4,3,2)|
hati(6-12)-hatj(4-16)+hatk(6-12)
=-6hati+12hatj-6hatk`.
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HC VERMA-PHYSICS AND MATHEMATICS-Exercises
  1. Let veca=2veci+3vecj+4veck and vecb=3veci+4vecj+5veck. Find the angle ...

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  2. Prove that vecA.(vecAxxvecB)=0

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  3. If vecA=2veci+3vecj+4veck and vecB=4veci+3vecj+2veck, find vecAxxvecB.

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

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

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  6. The force on as charged particle due to electric and magnetic fields i...

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

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  8. A curve is represented by y=sinx. If x is changed from pi/3 to pi/3+pi...

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

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

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

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

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  13. Find the area bounded by the curve y=e^(-x) the X-axis and the Y-axis.

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

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

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  16. The changes ina function y and the independent variable x are related ...

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

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

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  19. Round the following numbers to 2 significant digits. A. 3472, b. 84.16...

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  20. The length and the radius of a cylinder measured with a slide cllipers...

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