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Find the vector of length 3 unit which...

Find the vector of length 3 unit which is perpendicular to ` hat i+ hat j+ hat k` and lies in the plane of ` hat i+ hat j+ hat ka n d2 hat i-3 hat j` .

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Find the vector of length 3 unit which is perpendicular to hat i+ hat j+ hat k and lies in the plane of hat i+ hat j+ hat ka n d2 hat k-3 hat j .

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CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. If vector vec x satisfying vec xxx vec a+( vec xdot vec b) vec c= ve...

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  2. Let hat a , hat b ,and hat c be the non-coplanar unit vectors. The...

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  3. Find the vector of length 3 unit which is perpendicular to hat i+ h...

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  4. If vec b is not perpendicular to vec c , then find the vector vec r...

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  5. If vec a , vec ba n d vec c are three non coplanar vectors, then ( ...

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  6. Let vec a , vec b and vec c be three non-zero vectors such that ve...

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  7. Prove that ( vec a.hat i)( vec axx hat i)+( vec a.j)( vec axx hat j)+(...

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  8. If ( vec axx vec b)^2+( vec a.vec b)^2=144 and | vec a|=4, then find t...

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  9. A particle has an angular speed of 3 rad/s and the axis of rotation...

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  10. Find the moment of vec F about point (2, -1, 3), where force vec ...

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  11. Given | vec a|=| vec b|=1a n d| vec a+ vec b|=sqrt(3). If vec c is a ...

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  12. Let vec a=a1 hat i+a2 hat j+a3 hat k , vec b=b1 hat i+b2 hat j+b3 hat...

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  13. Statement 1: vec a , vec b ,a n d vec c are three mutually perpend...

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  14. If the volume of a parallelepiped whose adjacent edges are vec a=2...

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  15. Prove that [ vec l vec m vec n][ vec a vec b vec c]=| (vec l. vec a, v...

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  16. Using dot product of vectors, prove that a parallelogram, whose dia...

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  17. If a+2b+3c=4, then find the least value of a^2+b^2+c^2dot

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  18. In any triangle A B C , prove the projection formulaa=b cosC+c cosB ...

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  19. Prove that an angle inscribed in a semi-circle is a right angle usi...

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  20. If vec a.hat i= vec a.( hat i+ hat j)= vec a.( hat i+ hat j+ hat k) ...

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