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Mathematics
Mathematics
Problem
Calculate
r
=
a
+
b
\mathbf{r}=\mathbf{a}+\mathbf{b}
r
=
a
+
b
where
a
=
3
2
i
^
−
2
j
^
+
k
^
\mathbf{a}=\dfrac{3}{2}\hat{i}-\sqrt{2}\hat{j}+\hat{k}
a
=
2
3
i
^
−
2
j
^
+
k
^
and
b
=
−
1
2
i
^
+
2
2
j
^
−
3
k
^
\mathbf{b}=-\dfrac{1}{2}\hat{i}+2\sqrt{2}\hat{j}-3\hat{k}
b
=
−
2
1
i
^
+
2
2
j
^
−
3
k
^
. a)
i
^
+
3
2
j
^
−
2
k
^
\hat{i}+3\sqrt{2}\hat{j}-2\hat{k}
i
^
+
3
2
j
^
−
2
k
^
b)
i
^
+
2
j
^
−
2
k
^
\hat{i}+\sqrt{2}\hat{j}-2\hat{k}
i
^
+
2
j
^
−
2
k
^
c)
i
^
+
2
j
^
+
4
k
^
\hat{i}+\sqrt{2}\hat{j}+4\hat{k}
i
^
+
2
j
^
+
4
k
^
d)
−
i
^
+
2
j
^
−
2
k
^
-\hat{i}+\sqrt{2}\hat{j}-2\hat{k}
−
i
^
+
2
j
^
−
2
k
^
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