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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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