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Mathematics
Mathematics
Problem
Consider the points
A
(
2
,
−
3
,
4
)
A(2,-3,4)
A
(
2
,
−
3
,
4
)
and
B
(
5
,
1
,
−
2
)
B(5,1,-2)
B
(
5
,
1
,
−
2
)
in space. a. (a) Write the position vectors of
A
A
A
and
B
B
B
. b. (b) Find the vectors
A
B
→
\overrightarrow{AB}
A
B
and
B
A
→
\overrightarrow{BA}
B
A
. c. (c) Calculate the magnitude of
A
B
→
\overrightarrow{AB}
A
B
. d. (d) Determine the unit vector in the direction from
A
A
A
to
B
B
B
.
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