Homework 6
Due Wednesday June 1, 2011
For each statement in the table below, check under T for true and under F for
false.
Statement
T
F
Mass is a vector
The position vector from A to B can be expressed by the coordinates of
B minus the coordinates of A.
Dot product of two vectors can be used to determine the angle between
the vectors if their magnitudes are known.
Cross product of two vectors produces a third vector in the same plane
as the other two vectors.
If two directional angles of a vector are 40 and 60 degrees then the
third directional angle is 66.2 degrees.
The dot product of vector F with the vector F is the square of the
magnitude of vector F
If
r
is the position vector from the x axis to the force vector
F
, then the
magnitude of the moment of
F
about the x axis can be calculated the
unit vector
i
dot product of the cross product
r
and
F
.
2 + 2 + 2 = 6
If the position vector from the y axis to the force vector
F
= {10 i + 20
j
+ 30 k} N
is
r = {1 i
+ 2 j}
m, then the moment of
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 Summer '08
 Buch
 Vectors, Dot Product, Force, Euclidean vector, A. Dot

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