A
B
Quiz 0
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ID:
Mathematics is the language in sciences. Certain amount of knowledge in mathematics is
required to understand the material in this course. To help you check how well you are prepared
in math for this course, please complete this quiz in class. The grade of this quiz will not be
counted towards your final course grade. However if you find this quiz difficult, you may need
to review your math text books.
1.
In a Cartesian coordinate system, vector
A
= 2
i
+ 3
j
+ 4
k
, vector
B
= 3
i
+ 4
j
+ 5
k
. Here the
vectors
i, j
and
k
are the unit vectors for the x, y and z axes. Write the expression for
vector
C
and scalar D if:
Analysis: simply apply vector algebra rules in Cartesian system.
(1)
C
=
A
+
B
= (2+3)
i
+(3+4)
j
+(4+5)
k
= 5
i
+7
j
+9
k
check: result a vector.
(2) D =
A
·
B
= 2·3+3·4+4·5 = 38
check: result a scalar.
(3)
C
=
A
×
B =
check: result a vector.
1.
Solve the following equation for variable
x
, make sure to get all possible solutions.
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 Spring '08
 Ye
 Cartesian Coordinate System, Magnetism, 2 j, 4j, Standard basis, 3j

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