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Prove that: ( vec a- vec b)*{( vec b-...

Prove that: `( vec a- vec b)*{( vec b- vec c)xx(vec c- vec a)}"=0`

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RD SHARMA ENGLISH-SCALAR TRIPLE PRODUCT -All Questions
  1. Find the volume of the parallelepiped whose coterminous edges are re...

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  2. Evaluate : [ hat i hat j hat k]+[ hat j hat k hat i]+[ hat k hat i...

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  3. Prove that: ( vec a- vec b)*{( vec b- vec c)xx(vec c- vec a)}"=0

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  4. Show that each of the following triads of vectors are coplanar: ve...

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  5. Find the value of lambda so that the following vectors are copl...

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  6. Find the value of lambda for which the four points with position vecto...

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  7. vec a , vec b and vec c are the position vectors of points A ,B and C...

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  8. Let vec a= hat i+ hat j+ hat k , vec b= hat i and hat c=c1 hat i+c2...

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  9. Find [ vec a , vec b , vec c],w h e n vec a=2 hat i-3 hat j+4 hat k , ...

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  10. Find the volume of a parallelepiped whose edges are given by -3 hat ...

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  11. If |a a^2 1+ahat3bb^2 1+b^3cc^2 1+c^3|=0 and the vectors vec A= hat i...

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  12. Evaluate 0.2^3 + 100.45^0

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  13. Simplify: [ vec a- vec b vec b- vec c vec c- vec a]

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  14. If the vectors vecalpha=a hat i+a hat j+c hat k , vecbeta= hat i+ hat...

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  15. Determine alpha such that a vector vec r is at right angles to each o...

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  16. Find the range of f(x)=sin^(-1)x+tan^(-1)x+cos^(-1)xdot

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  17. If vec a , vec b , vec c are three non-coplanar vectors, prove that [...

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  18. For any three vectors a b,c, show that vec a xx (vec b +vec c)+vec b x...

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  19. Let vec a , vec b , vec c be three non-zero vectors such that vec c ...

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  20. Let vec a , vec ba n d vec c , be non-zero non-coplanar vectors. Prov...

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