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Mathematics
Problem
For any vectors
p
,
q
,
r
\mathbf{p},\mathbf{q},\mathbf{r}
p
,
q
,
r
in space, which identity below illustrates the associative property of vector addition? a)
k
(
p
+
q
)
=
k
p
+
k
q
k(\mathbf{p}+\mathbf{q})=k\mathbf{p}+k\mathbf{q}
k
(
p
+
q
)
=
k
p
+
k
q
b)
∣
p
+
q
∣
=
∣
p
∣
+
∣
q
∣
|\mathbf{p}+\mathbf{q}|=|\mathbf{p}|+|\mathbf{q}|
∣
p
+
q
∣
=
∣
p
∣
+
∣
q
∣
c)
(
p
+
q
)
+
r
=
p
+
(
q
+
r
)
(\mathbf{p}+\mathbf{q})+\mathbf{r}=\mathbf{p}+(\mathbf{q}+\mathbf{r})
(
p
+
q
)
+
r
=
p
+
(
q
+
r
)
d)
p
+
q
=
q
+
p
\mathbf{p}+\mathbf{q}=\mathbf{q}+\mathbf{p}
p
+
q
=
q
+
p
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