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Mathematics
Mathematics
Problem
7. If
a
⃗
=
i
^
+
j
^
+
k
^
,
b
⃗
=
2
i
^
−
j
^
+
3
k
^
\vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{b}=2 \hat{i}-\hat{j}+3 \hat{k}
a
=
i
^
+
j
^
+
k
^
,
b
=
2
i
^
−
j
^
+
3
k
^
and
c
⃗
=
i
^
−
2
j
^
+
k
^
\vec{c}=\hat{i}-2 \hat{j}+\hat{k}
c
=
i
^
−
2
j
^
+
k
^
, find a unit vector parallel to the vector
2
a
⃗
−
b
⃗
+
3
c
⃗
2 \vec{a}-\vec{b}+3 \vec{c}
2
a
−
b
+
3
c
.
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