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Mathematics
Mathematics
Problem
Show that the vector
3
i
−
4
j
+
12
k
3
2
+
(
−
4
)
2
+
12
2
\displaystyle \frac{3\mathbf{i}-4\mathbf{j}+12\mathbf{k}}{\sqrt{3^{2}+(-4)^{2}+12^{2}}}
3
2
+
(
−
4
)
2
+
1
2
2
3
i
−
4
j
+
12
k
is a unit vector.
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