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Mathematics
Mathematics
Problem
Given
p
=
3
i
^
−
2
j
^
+
5
k
^
\mathbf{p}=3\hat{i}-2\hat{j}+5\hat{k}
p
=
3
i
^
−
2
j
^
+
5
k
^
,
q
=
−
i
^
+
4
j
^
+
2
k
^
\mathbf{q}=-\hat{i}+4\hat{j}+2\hat{k}
q
=
−
i
^
+
4
j
^
+
2
k
^
and
r
=
2
i
^
+
j
^
−
3
k
^
\mathbf{r}=2\hat{i}+\hat{j}-3\hat{k}
r
=
2
i
^
+
j
^
−
3
k
^
, calculate
(
p
+
q
)
+
r
(\mathbf{p}+\mathbf{q})+\mathbf{r}
(
p
+
q
)
+
r
and
p
+
(
q
+
r
)
\mathbf{p}+(\mathbf{q}+\mathbf{r})
p
+
(
q
+
r
)
to show that the associative property holds for these vectors.
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