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Mathematics
Mathematics
Problem
Given three vectors in metres:
A
⃗
=
3
i
^
−
2
j
^
+
4
k
^
\vec A = 3\,\hat i - 2\,\hat j + 4\,\hat k
A
=
3
i
^
−
2
j
^
+
4
k
^
,
B
⃗
=
−
1
i
^
+
5
j
^
+
2
k
^
\vec B = -1\,\hat i + 5\,\hat j + 2\,\hat k
B
=
−
1
i
^
+
5
j
^
+
2
k
^
and
C
⃗
=
4
i
^
+
1
j
^
−
3
k
^
\vec C = 4\,\hat i + 1\,\hat j - 3\,\hat k
C
=
4
i
^
+
1
j
^
−
3
k
^
, find the resultant vector
R
⃗
=
A
⃗
−
B
⃗
+
C
⃗
\vec R = \vec A - \vec B + \vec C
R
=
A
−
B
+
C
in unit-vector notation.
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