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Let vec a , vec b , vec c , be three no...

Let ` vec a , vec b , vec c ,` be three non-zero vectors. If ` vec a .(vec bxx vec c)=0 and vec b and vec c` are not parallel, then prove that ` vec a=lambda vec b+mu vec c ,w h e r elambda` are some scalars`dot`

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RD SHARMA ENGLISH-SCALAR TRIPLE PRODUCT -All Questions
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  2. Find the altitude of a parallelepiped determined by the vectors ve...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Find the volume of the parallelepiped whose coterminous edges are r...

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  19. Find the volume of the parallelepiped whose coterminous edges are r...

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  20. Find the volume of the parallelepiped whose coterminous edges are r...

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