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Evaluate the product (3 hata-5hatb) cdot...

Evaluate the product `(3 hata-5hatb) cdot(2hata+7hatb)`

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MODERN PUBLICATION-VECTORS-Exercise
  1. Find veca.vecb If veca=3hati-hatj+2hatk and vecb=2hati+3hatj+3hatk

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  2. Find veca.vecb If veca=2hati-hatj+hatk and vecb=2hatj-hatk.

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  3. Evaluate the product (3 hata-5hatb) cdot(2hata+7hatb)

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  4. If veca is a unit vector and (vecx - veca) cdot (vecx + veca) = 8, th...

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  5. If veca is a unit vcetor and (vecx-veca)*(vecx+veca)=80, then find |ve...

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  6. If vecp is a unit vcetor and (vecx-vecp)*(vecx+vecp)=80, then find |ve...

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  7. Find |vecx|, if for a unit vector veca, (vecx - veca)cdot(vecx+veca)...

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  8. Find the angle between the vectors : hati-hatj and hatj-hatk.

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  9. Find the angle between the vectors : hati+hatj+hatk and hati+hatj-hatk...

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  10. Find the angle between the vectors veca=hati-2hatj+3hatk and vecb=3hat...

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  11. Find the angle between the vectors : veca=hati+hatj-hatk and vecb=hati...

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  12. Find the angle between the vectors : veca=3hati-2hatj+hatk and vecb=ha...

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  13. Find the angles between the vectors veca=2hati-hatj+2hatk,vecb=6hati...

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  14. Find the cosine of the acute angle which the vector : sqrt2hati+hatj+h...

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  15. Find the angle between two vectors veca and vecb such that : |veca|=sq...

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  16. Find the angle between two vectors veca and vecb such that : |veca|=sq...

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  17. Find the angle between two vectors vecaand vecb with magnitudes 1 and ...

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  18. Find the magnitude of two vectors veca and vecb, having the same magni...

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  19. If either vector veca = 0or vecb = 0, then veca cdot vecb = 0.But the...

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  20. Find the scalar projection of : veca=7hati+hatj-4hatk on vecb=2hati+6h...

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