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Write a vector normal to hati+hatk and h...

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

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Determine the area of the parallelogram whose sides are the vectors 2hati + 2hatj and hati -hatk .

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SHARAM PUBLICATION-VECTORS-EXAMPLE
  1. What is the magnitude of 2veca xx 3veca ?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If hati +hatj+hatk and 2hati -alphahatj+3hatk are orthogonal to each o...

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  19. Find [veca vecb vecc] when veca= hati -2hatj + 3hatk, vecb=2hati+ hatj...

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  20. Find a vectorvecb such that vecaxxvecb=vecc and veca.vecb = 3 where ve...

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