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Mathematics
Mathematics
Problem
Determine the unit vector that makes equal positive angles with all three coordinate axes. a)
1
2
(
i
^
+
j
^
+
k
^
)
\dfrac{1}{\sqrt{2}}\,(\hat{i}+\hat{j}+\hat{k})
2
1
(
i
^
+
j
^
+
k
^
)
b)
1
3
(
i
^
+
j
^
+
k
^
)
\dfrac{1}{3}\,(\hat{i}+\hat{j}+\hat{k})
3
1
(
i
^
+
j
^
+
k
^
)
c)
1
3
(
i
^
+
j
^
+
k
^
)
\dfrac{1}{\sqrt{3}}\,(\hat{i}+\hat{j}+\hat{k})
3
1
(
i
^
+
j
^
+
k
^
)
d)
i
^
+
j
^
+
k
^
\hat{i}+\hat{j}+\hat{k}
i
^
+
j
^
+
k
^
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