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Find the unit vector in the direction of the vector ` vec a= hat i+ hat j+` 2` hat k` .

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CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. If vec a , vec b , vec ca n d vec d are distinct vectors such that ...

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  2. If vec a , vec ba n d vec c are non-coplanar vectors, prove that the ...

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  3. Find the unit vector in the direction of the vector vec a= hat i+ ...

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  4. let P an interioer point of a triangle A B C and A P ,B P ,C P meets t...

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  5. Let vec a , vec ba n d vec c be unit vectors, such that vec a+ vec b...

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  6. Let vec A and vec B be two non-parallel unit vectors in a plane. If...

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  7. If the vectors 3 vec p+ vec q ;5p-3 vec qa n d2 vec p+ vec q ;4 vec p-...

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  8. P(1,0,-1), Q(2,0,-3),R(-1,2,0)a n dS(,-2,-1), then find the projection...

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  9. A , B , C , D are any four points, prove that vec A Bdot vec C D+ v...

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  10. Let u=hat(i)+hat(j), v=hat(i)-hat(j) and w=hat(i)+2hat(j)+3hat(k). If ...

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  11. If the angel between unit vectors vec aa n d vec b60^0 , then find...

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  12. veca+vecb+vecc=vec0, |veca|=3, |vecb|=5,|vecc|=9,find the angle betwee...

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  13. Constant forces P1= hat i+ hat j+ hat k ,P2= - hat i+2 hat j- hat ka n...

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  14. If vec a , a n d vec b are unit vectors , then find the greatest v...

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  15. Let G1, G2a n dG3 be the centroids of the triangular faces O B C ,O ...

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  16. Prove that hat(i)times(a+hat(i))+hat(j)times(atimeshat(j))+hat(k)times...

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  17. If hat ixx[( vec a- hat j)xx hat i]+ hat jxx[( vec a- hat k)xx hat j]...

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  18. Let vec a , vec b ,and vec c be any three vectors, then prove that ...

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  19. If [ vec a vec b vec c]=2, then find the value of [( vec a+2 vec b- ve...

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  20. If vec a , vec b , vec c are mutually perpendicular unit vectors, fin...

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