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What is the unit vector perpendicular to the vectors `hati- hatj` and `2hati-3hatj` ?

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SHARAM PUBLICATION-VECTORS-EXAMPLE
  1. Write a vector in the direction of the vector hati-2hatj+3hatk that ha...

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  2. Find the value of ‘a’ such that the vector 6hati+2hatj-3hatk is perpen...

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  3. What is the unit vector perpendicular to the vectors hati- hatj and 2h...

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  4. What is the magnitude of 2veca xx 3veca ?

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  5. If (vec a times vec b)^2 + (vec a cdot vec b)^2=144, write the value o...

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  6. Write a vector normal to hati+hatk and hati+hatj.

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  7. What is the angle between hati+ hatj and hati-hatj ?

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  8. If veca and vecb are unit vectors such that vecaxxvecb is a unit vecto...

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  9. If two vectors oversetrarra and oversetrarrb are such that |oversetrar...

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  10. What is the direction of (hati+hatj+hatk)+(hati+hatk-3hatj)+ (hatk+hat...

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  11. What is the projection of hat i + hat j - hat k upon the vector hat i ...

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  12. Prove that [vecaxxvecbvecbxxveccveccxxveca] = [vecavecbvecc]^2

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  13. Let vec(a) = hat(i) + hat(j) + hat(k), vec(b) = 4hat(i) - 2hat(j) + 3h...

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  14. Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]

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  15. If veca+vecb+vecc = vec0, |veca| = 3 , |vecb| = 5 and |vecc| = 7, find...

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  16. The position vectors of the points A, B, C and D are 4hati+3hatj-hatk,...

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  17. If the sum of two unit vectors is a unit vectors find the magnitude of...

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  18. If veca = (2,-2,1), vecb = (2,3,6) and vecc = (-1,0,2), Find the magni...

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  19. Prove the following by vector method. An angle inscribed in a semi-cir...

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  20. If veca, vecb and vecc mutually perpendiculars, show that [veca.(vecbx...

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