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Mathematics
Mathematics
Problem
For two vectors
A
\mathbf{A}
A
and
B
\mathbf{B}
B
it is given that
A
+
B
=
7
i
^
−
4
j
^
,
A
−
B
=
3
i
^
+
2
j
^
.
\mathbf{A}+\mathbf{B}=7\hat{i}-4\hat{j},\qquad \mathbf{A}-\mathbf{B}=3\hat{i}+2\hat{j}.
A
+
B
=
7
i
^
−
4
j
^
,
A
−
B
=
3
i
^
+
2
j
^
.
Determine the vector
A
\mathbf{A}
A
.
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