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Prove that (vecA+2vecB)*(2vecA-3vecB)=2...

Prove that ` (vecA+2vecB)*(2vecA-3vecB)=2A^2+ABcostheta -6B^2`

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CHHAYA PUBLICATION-VECTOR-PROBLEM SET-I
  1. For what values of a and b , will the vectors 2hati-3hatj-hatk and ah...

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  2. For what value of a ,will the vectors ahati-2hatj+hatk and 2ahati+ah...

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  3. Prove that (vecA+2vecB)*(2vecA-3vecB)=2A^2+ABcostheta -6B^2

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  4. Determine the value of n so that the vectors vecA=2hati+4hatj-nhatk ...

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  5. If (vecA+vecB)*(vecA-vecB)=0 , show that the magnitude of both the vec...

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  6. Find the unit vector perpendicular to both the vectors vecA=(2hati+2ha...

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  7. The forces P=1 dyn and Q =sqrt(3) dyn are mutually perpendicular. Fin...

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  8. A stone is thrown from the ground with a velocity of 14 m *s^(-1) ...

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  9. A stone is thrown from the ground with a velocity of 14 m *s^(-1) ...

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  10. A stone is thrown up from the earth's surface with an initial velocit...

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  11. If the range of a projectile, projected from the surface of the eart...

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  12. A soldier fires a bullet horizontally from the top a cliff with a vel...

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  13. Show that the maximum height attained by a projectile is one fourth of...

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  14. Find the magnitude of the vector 3hati+4hatj+12hatk and the angles it ...

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  15. What is the value of the resultant of three vectors hati , hatj and sq...

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  16. Position coordinates of the points A, B,C are (1,2,3),(2,3,1) and (3,1...

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  17. If vecA=5hati+3hatj-4hatk and vecB=5hati+2hatj+4hatk are two vectors, ...

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  18. Find the magnitudes of the sum and difference of two vectors 6hati-4ha...

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  19. Show that the magnitude of vecAxxvecB and area of a parallelogram of...

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  20. Determine the angle between vecA=2hati-2hatj+hatk and vecB=3hati+hatj-...

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