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Prove that the sum of three vectors d...

Prove that the sum of three vectors determined by the medians of a triangle directed from the vertices is zero.

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CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. If the resultant of two forces is equal in magnitude to one of the ...

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  2. The axes of coordinates are rotated about the z-axis through an angle ...

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  3. Prove that the sum of three vectors determined by the medians of a ...

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  4. If two side of a triangle are hat i+2 hat j and hat i+ hat k , then...

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  5. If in parallelogram ABCD, diagonal vectors are vec A C=2 hat i+3 ha...

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  6. Find the resultant of vectors vec a= hat i- hat j+2 hat k and vec b...

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  7. Check whether the three vectors 2 hat i+2 hat j+3 hat k ,-3 hat i+3...

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  8. The midpoint of two opposite sides of a quadrilateral and the midpo...

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  9. Prove that the lines joining the vertices of a tetrahedron to the ce...

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  10. Find the angle of vector vec a = 6 hat i + 2 hat j - 3 hat k with x -...

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  11. If the vectors vecalpha=a hat i+a hat j+c hat k , vecbeta= hat i+ hat...

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  12. The points with position vectors 60 i+3j ,40 i-8j ,a i-52 j are col...

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  13. Let alpha, beta and gamma be distinct real numbers. The points whose ...

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  14. Let vec a= vec i- vec k , vec b=x vec i+ vec j+(1-x) vec k and vec c...

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  15. In the DeltaOAB,M is the mid-point of AB,C is a point on OM, such that...

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  16. If vec a , vec b are two non-collinear vectors, prove that the poi...

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  17. If vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k and ve...

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  18. The number of distinct real values of lambda , for which the vectors...

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  19. If vec A O+ vec O B= vec B O+ vec O C , then A ,B and C are (where O...

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  20. Find a vector magnitude 5 units, and parallel to the resultant of t...

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