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Mathematics
Mathematics
Problem
Consider the points
A
(
2
,
−
1
,
4
)
A(2,-1,4)
A
(
2
,
−
1
,
4
)
and
B
(
8
,
3
,
−
2
)
B(8,3,-2)
B
(
8
,
3
,
−
2
)
in space. (i) Write the displacement vector
A
B
⃗
\vec{AB}
A
B
in component form. (ii) Calculate the magnitude of
A
B
⃗
\vec{AB}
A
B
and hence find the length
A
B
AB
A
B
. (iii) Obtain the unit vector directed from
A
A
A
towards
B
B
B
.
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