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Mathematics
Mathematics
Problem
A vector
a
\mathbf{a}
a
has magnitude
10
10
10
units and makes equal angles with each of the three coordinate axes. Which of the following represents
a
\mathbf{a}
a
? a)
10
2
(
i
^
+
j
^
+
k
^
)
\dfrac{10}{\sqrt{2}}(\hat{i}+\hat{j}+\hat{k})
2
10
(
i
^
+
j
^
+
k
^
)
b)
10
3
(
i
^
+
j
^
+
k
^
)
\dfrac{10}{\sqrt{3}}(\hat{i}+\hat{j}+\hat{k})
3
10
(
i
^
+
j
^
+
k
^
)
c)
10
(
i
^
+
j
^
+
k
^
)
10\,(\hat{i}+\hat{j}+\hat{k})
10
(
i
^
+
j
^
+
k
^
)
d)
10
3
(
i
^
+
j
^
+
k
^
)
\dfrac{10}{3}(\hat{i}+\hat{j}+\hat{k})
3
10
(
i
^
+
j
^
+
k
^
)
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