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Mathematics
Problem
Given
u
=
4
i
^
+
7
j
^
−
2
k
^
\mathbf{u}=4\hat{i}+7\hat{j}-2\hat{k}
u
=
4
i
^
+
7
j
^
−
2
k
^
and
v
=
−
i
^
+
3
j
^
+
5
k
^
\mathbf{v}=-\hat{i}+3\hat{j}+5\hat{k}
v
=
−
i
^
+
3
j
^
+
5
k
^
, find the vector
w
\mathbf{w}
w
such that
u
+
w
=
v
\mathbf{u}+\mathbf{w}=\mathbf{v}
u
+
w
=
v
. a)
3
i
^
+
10
j
^
+
3
k
^
3\hat{i}+10\hat{j}+3\hat{k}
3
i
^
+
10
j
^
+
3
k
^
b)
−
5
i
^
−
4
j
^
+
7
k
^
-5\hat{i}-4\hat{j}+7\hat{k}
−
5
i
^
−
4
j
^
+
7
k
^
c)
5
i
^
+
4
j
^
−
7
k
^
5\hat{i}+4\hat{j}-7\hat{k}
5
i
^
+
4
j
^
−
7
k
^
d)
−
5
i
^
−
4
j
^
+
3
k
^
-5\hat{i}-4\hat{j}+3\hat{k}
−
5
i
^
−
4
j
^
+
3
k
^
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