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Mathematics
Mathematics
Problem
Three vectors in space are
P
⃗
=
4
i
^
−
2
j
^
+
3
k
^
\vec P = 4\,\hat i - 2\,\hat j + 3\,\hat k
P
=
4
i
^
−
2
j
^
+
3
k
^
,
Q
⃗
=
−
1
i
^
+
5
j
^
−
4
k
^
\vec Q = -1\,\hat i + 5\,\hat j - 4\,\hat k
Q
=
−
1
i
^
+
5
j
^
−
4
k
^
and
R
⃗
=
r
x
i
^
−
3
j
^
+
2
k
^
\vec R = r_x\,\hat i - 3\,\hat j + 2\,\hat k
R
=
r
x
i
^
−
3
j
^
+
2
k
^
. If
P
⃗
+
Q
⃗
+
R
⃗
=
0
⃗
\vec P + \vec Q + \vec R = \vec 0
P
+
Q
+
R
=
0
, determine the value of
r
x
r_x
r
x
. a)
3
3
3
b)
−
5
-5
−
5
c)
−
3
-3
−
3
d)
1
1
1
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