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Date: ______________
1. Q.1 (Sec 12.1)
Let
. Find the vector
such that
.
2. Q.2 (Sec 12.1)
Let
. Calculate:
3. Q.3 (Sec 12.1)
Find
for which
is parallel to
where
4. Q.4 (Sec 12.2)
A) Find the vector equation of the line which is parallel to the vector
and
passes through the point
.
B) Find the equation of the line through
and
.
C) Do the two lines intersect? If so, find the point of intersection.
5. Q.5 (Sec 12.2)
In a box
, and
is the midpoint of
A) Find the vector
in terms of
, and
.
B) Find
if
is at the origin and
6. Q.6 (Sec 12.2)
Let
and
.
A) Write the coordinates of the point
on
lying
of the way from
to
.
B) Write
as a linear combination of
and
.
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View Full Document7. Q.7 (Sec 12.3)
Find a scalar
such that the vectors
and
are orthogonal.
8. Q.9 (Sec 12.3)
The angle between
and
is
and
Let
and
be the vectors
,
.
A) Find the dot product
B) Find the dot product
and use it to compute the lengths
and
C) Find the angle between
and
9. Q.11 (Sec 12.4)
The line
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 Spring '08
 ningzhong
 Calculus, Linear Algebra, Vector Space, Dot Product

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