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Mathematics
Problem
Two vectors
P
\mathbf{P}
P
and
Q
\mathbf{Q}
Q
satisfy
P
+
Q
=
0
\mathbf{P}+\mathbf{Q}=\mathbf{0}
P
+
Q
=
0
. If
P
=
5
i
^
−
3
j
^
\mathbf{P}=5\hat{i}-3\hat{j}
P
=
5
i
^
−
3
j
^
, which of the following is
Q
\mathbf{Q}
Q
? a)
5
i
^
+
3
j
^
5\hat{i}+3\hat{j}
5
i
^
+
3
j
^
b)
−
5
i
^
−
3
j
^
-5\hat{i}-3\hat{j}
−
5
i
^
−
3
j
^
c)
−
5
i
^
+
3
j
^
-5\hat{i}+3\hat{j}
−
5
i
^
+
3
j
^
d)
3
i
^
−
5
j
^
3\hat{i}-5\hat{j}
3
i
^
−
5
j
^
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