Physics 51
Proficiency Test 4.sample
(Time: 15 minutes)
25 points
By Todd Sauke
Name ________________________
Section # ________
We have seen that vector quantities can be added to and subtracted from one another.
Vector quantities can also be multiplied together.
We study two fundamental types of
vector products in the Physics 50 series, the scalar (or "dot") product and the vector
(or "cross") product.
The dot product of two vectors ("
a
•
b
") has a scalar result.
The cross product of two vectors ("
a
x
b
") has a vector result, with the resultant vector
perpendicular to the plane containing the source vectors.
By convention, the cross
product relies on a "right hand rule" to establish the resultant direction.
What is the dot product of the vectors
a
and
b
if the magnitude of
a
is 11, the magnitude
of
b
is 5, and the angle between them is 64º?
a
•
b
= __________________
For what value of angle between
a
and
b
would the dot product be maximized?
(circle one below)
0º
45º
90º
135º
180º
The components of vectors
g
and
h
are as follows:
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 '10
 Sauke,ToddB
 Physics, Vector Space, Dot Product, #, 15 minutes, Todd Sauke

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