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Statics , Chapter 4 , Self_Test

This is a multiple choice test with one correct choice per question.


  1. In order to add two vectors :

      their components have to positive
      they have to have equal number of components
      the components of the 2nd vector must be positive


  2. The product of a scalar and a vector is :

      a scalar
      a vector perpendicular to the original vector
      a vector of unknown direction
      a vector aligned with the original vector


  3. You multiply a vector by a scalar :

      multiply only the x-component by the scalar
      multiply each component by the scalar
      do nothing


  4. When you multiply a vector by the inverse of its magnitude the resulting vector :

      has the magnitude of 1 (one) and points in opposite direction
      has unknown magnitude and points in the same direction
      has the magnitude of 1 (one) and points in the same direction
      has unknown magnitude and points in the same direction

    as the original vector.


  5. The result of the dot-product of two vectors is :

      a scalar always positive
      a scalar never zero
      always zero if the x-component of the vector is zero
      only zero if the scalar is zero
      a scalar either positive,negative or zero


  6. The result of the dot-product of two non-zero vectors is :

      never zero
      zero only if the two vectors point in opposite direction
      zero only if the two vectors point in the same direction
      zero only if the two vectors are perpendicular to each other


  7. The result of the dot-product of a vector with itself :

      equal to the unit vector
      is always zero
      is equal to the magnitude squared of the vector
      is equal to the magnitude of the vector


  8. The cross-product of two vectors is :

      only zero if the first vector is zero
      only zero if the second vector is zero
      zero if both vectors are aligned.


  9. The cross-product of two vectors is :

      is a scalar
      is a vector of unknown direction
      is a vector perpendicular to the first vector but arbitrary otherwise
      is a vector perpendicular to both given vectors
      is a vector perpendicular to the second vector but arbitrary otherwise
      is a vector of unknow direction


  10. For given vectors and the two cross products x and x produce two new vectors. These two new vectors

      are mutually perpendicular to each other
      are identical in magnitude and direction
      are identical in magnitude but opposite in direction
      have nothing to do with each other


  11. The cross-product of a vector with itself :

      is a scalar
      is a vector of zero magnitude
      cannot be calculated
      is a vector perpendicular to the given vector




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