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Mathematics
Mathematics
Problem
For the points
A
(
1
,
2
,
3
)
A(1,2,3)
A
(
1
,
2
,
3
)
,
B
(
4
,
0
,
1
)
B(4,0,1)
B
(
4
,
0
,
1
)
and
C
(
−
1
,
5
,
2
)
C(-1,5,2)
C
(
−
1
,
5
,
2
)
: a. (i) Find a unit vector perpendicular to both
A
B
→
\overrightarrow{AB}
A
B
and
A
C
→
\overrightarrow{AC}
A
C
. b. (ii) Using this result, calculate the area of triangle
A
B
C
ABC
A
B
C
(give your answer correct to two decimal places).
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