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If veca=2veci-3vecj+2veck and vecb=veci+...

If `veca=2veci-3vecj+2veck` and `vecb=veci+2vecj+veck`, find (i)`veca.vecb`, (ii)`vecaxxvecb` and (iii)`vecbxxveca`

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The correct Answer is:
(i)-2 , (ii)-7`veci+7veck` , (iii)`7veci-7veck`
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NN GHOSH-VECTOR AND SCALARS-All Questions
  1. The coordinates of the initial point of a vector are (1,2) and those o...

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  2. If veca=2veci+3vecj and vecb=veci+vecj, find (i)veca.vecb, (ii)vecaxxv...

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  3. If veca=2veci-3vecj+2veck and vecb=veci+2vecj+veck, find (i)veca.vecb,...

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  4. If veca=x1veci+y1vecj and vecb=x2veci+y2vecj, find the condition that ...

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  5. If veca=4veci-3vecj and vecb=6veci+8vecj, find the magnitude and direc...

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  6. Three vectors which are coplanar with respect to a certain reactangula...

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  7. Find the angle between veca=3veci+3vecj-3veck and vecb=2veci+vecj+3vec...

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  8. A car is driven eastward for a distance of 50 km, then northward for 3...

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  9. Four forces of magnitude P, 2P, 3P and 4P act along the four sides of ...

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  10. Find the direction cosines and unit vector along the vector vecr=2veci...

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  11. Prove by the method of vectors that in a triangle a/(sin A)=b/(sinB)=c...

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  12. Show that if vecA. (vecBxxvec c)=0, then vecA, vecB and vec c are copl...

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  13. Show that veca.(vecbxxvec c) is equal in magnitude to the volume of th...

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  14. Prove that for a vector veca defined by veca=axveci+ayvecj+azveck, the...

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  15. If vecb and vec c be the intersecting face-diagonals of a cube of edge...

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  16. Show that the position vector of a place on the surface of the earth w...

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  17. A man rows a boat with a speed 10 m/s along N-E direction. The shore l...

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  18. A force vecF=5veci+2vecj+veck displaces a body from a point with coord...

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  19. If the sum and difference of two vectors are at right angles, show tha...

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  20. Prove that (vecaxxvecb)^2=veca^2b^2-(veca.vecb)^2.

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