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Prove that if vec a,vec b,vec c and vec ...

Prove that if `vec a,vec b,vec c and vec d` are any four vectors, then `(vec a xx vec b)*(vec c xx vec d)= [[vec a* vec c vec b* vec c], [vec a* vec d vec b* vec d]]`

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Prove that [vec a -vec b, vec b - vec c, vec c- vec a] =0

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  2. Integrate the following int (cosx)dx/(1+sin^2x)

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  3. Prove that if vec a,vec b,vec c and vec d are any four vectors, then (...

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  4. Compute [vec a vec b vec c] where vec a = hat i- 2 hat j + 3 hat k, ve...

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  5. Compute [vec a vec b vec c] where vec a = hat i- 2 hat j + 3 hat k, ve...

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  6. Find the volume of the Parallelopiped whose coterminous edges are repr...

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  7. Find the volume of the Parallelopiped whose coterminous edges are repr...

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  8. Find the volume of the Parallelopiped whose coterminous edges are repr...

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  9. If vec α and vec β are any vectors, prove that vec β * (vec α xx vec β...

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  10. If vec a = -2hat i -2 hat j + 4 hat k, vec b=-2 hat i +4 hat j- 2 hat...

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  11. Show that the vectors vec a= 10 hat i -12 hat j -4 hat k, vec b=-16 ha...

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  12. If vec a = hat i +2 hat j +hat k, vec b= 3 hat i +2 hat j- 7hat k and ...

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  13. Integrate the following int xe^(3x)dx

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  14. Find λ if vectors vec a = hat i +λ hat j +hat k, vec b= 2hat i -hat ...

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  15. Find the value of scalar λ if the vectors vec a =2 hat i +hat j +hat ...

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  16. Prove that the four points 4 hat i +5 hat j +hat k, -(hat j+hat k) ,3...

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  17. Integrate the following int (2x+6)dx/(x^2+6x+49)

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  18. Show that the four points having position vectors 6 hat i-7 hat j, 16 ...

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  19. Integrate the following int xlog3xdx

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  20. If vec a =3 hat i -hat j +hat k, vec b= hat i +3hat j - hat k and ve...

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