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Simplify: [ vec a- vec b vec b- vec c ve...

Simplify: `[ vec a- vec b vec b- vec c vec c- vec a]`

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Prove that [[ vec a+ vec b, vec b+ vec c, vec c+ vec a]]=2[ [vec a, vec b, vec c]]dot

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RD SHARMA ENGLISH-SCALAR TRIPLE PRODUCT -All Questions
  1. 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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  2. Evaluate 0.2^3 + 100.45^0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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