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Find the unit vector in the direction of the sum of the vectors `veca=2hati+2hatj-5hatk` and `vecb=2hati+2hatj-7hatk`

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Write a unitvector in the direction of the sum of vectors veca=2hati-hatj-2hatk and vecb=-hati+hatj+3hatk

Find the unit vector parallel to the sum of the vectors veca = 2hati+4hatj-5hatk and vecb = hati+2hatj+3hatk. Also find its direction cosines.

Find the unit vector in the direction of veca-vecb where veca= 4hati + 4hatj+hatk and vecb= 3hati-11hatk .

Find the unit vector in the direction of 6hati +2hatj +3hatk .

Find sine of the angle between the vectors vecA=hati+2hatj+3hatk and vecB=2hati-hatj+hatk

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SHARAM PUBLICATION-VECTORS-EXAMPLE
  1. If vec(a).vec(b) = 0 and vec(a) xx vec(b) = vec(0), then draw the conc...

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  2. Find a vector in the direction of vector 2hati-3hatj+6hatk which has m...

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  3. Find the unit vector in the direction of the sum of the vectors veca=2...

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  4. Write a unitvector in the direction of the sum of vectors veca=2hati-h...

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  5. If veca =xhati+2hatj-zhatk, vecb=3hati-yhatj+2hatk are two equal vecto...

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  6. If hata.hatb=1/2then what is the angle between hata and hatb?

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  7. Write the value of the cosine of the angle which the vector veca =hati...

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  8. Write a vector in the direction of the vector hati-2hatj+3hatk that ha...

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

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

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

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

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

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

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

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

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

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

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

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

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