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Mathematics
Problem
Let
u
=
2
i
^
−
3
j
^
+
4
k
^
\mathbf{u}=2\hat{i}-3\hat{j}+4\hat{k}
u
=
2
i
^
−
3
j
^
+
4
k
^
,
v
=
−
i
^
+
5
j
^
−
2
k
^
\mathbf{v}=-\hat{i}+5\hat{j}-2\hat{k}
v
=
−
i
^
+
5
j
^
−
2
k
^
, and
w
=
3
i
^
−
j
^
−
k
^
\mathbf{w}=3\hat{i}-\hat{j}-\hat{k}
w
=
3
i
^
−
j
^
−
k
^
. Find
∣
R
∣
|\mathbf{R}|
∣
R
∣
if
R
=
u
−
2
v
+
w
\mathbf{R}=\mathbf{u}-2\mathbf{v}+\mathbf{w}
R
=
u
−
2
v
+
w
. a)
7
5
7\sqrt{5}
7
5
b)
7
6
7\sqrt{6}
7
6
c)
226
\sqrt{226}
226
d)
15
15
15
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