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For any three vectors a b,c, show that v...

For any three vectors a b,c, show that `vec a xx (vec b +vec c)+vec b xx (vec c +vec a) +vec cxx(vec a + vec b)=0`

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RD SHARMA ENGLISH-SCALAR TRIPLE PRODUCT -All Questions
  1. Find the range of f(x)=sin^(-1)x+tan^(-1)x+cos^(-1)xdot

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

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

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

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

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  6. Find the altitude of a parallelepiped determined by the vectors ve...

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  7. Let vec a , vec b , vec c , be three non-zero vectors. If vec a .(ve...

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  8. If the vectors vecalpha=a hat i+ hat j+ hat k , vecbeta= hat i+b hat ...

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  9. If a is a non-zero real number, then prove that the vectors vecalph...

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  10. If vec a+vec b+vec c=0, prove that (vec a xx vec b)=(vec b xx vec c)=(...

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  11. Show that the vectors vec a=-2 hat i-2 hat j+4 hat k ,\ vec b=-2 ...

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  12. Find lambda so that the vectors vec a=2 hat i- hat j+ hat k ,\ vec b...

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  13. The four points whose position vector are 6 hat i - 7 hat j,16 hat i -...

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  14. For any three vectors a ,\ b ,\ c prove that [ vec a+ vec b\ vec b...

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  15. Show that vectors vec a ,\ vec b ,\ vec c are coplanar if vec a+ v...

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  16. Show that the vectors vec a - vec b, vec b - vec c , vec c - vec a are...

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  17. What can you conclude about four non zero vectors vec a ,\ vec b ...

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  18. Evaluate the following: [ hat i\ hat j\ hat k]+[ hat j\ hat k\ ...

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

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  20. Find [ vec a\ vec b\ vec c] , when : vec a=2 hat i-3 hat j ,\ vec ...

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