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Mathematics
Mathematics
Problem
For a non-zero vector
A
\mathbf{A}
A
, which of the following expressions always gives the unit vector along
A
\mathbf{A}
A
? a)
A
∣
A
∣
2
\dfrac{\mathbf{A}}{|\mathbf{A}|^{2}}
∣
A
∣
2
A
b)
A
∣
A
∣
\mathbf{A}\,|\mathbf{A}|
A
∣
A
∣
c)
A
∣
A
∣
\dfrac{\mathbf{A}}{|\mathbf{A}|}
∣
A
∣
A
d)
A
A
⋅
A
\dfrac{\mathbf{A}}{\mathbf{A}\!\cdot\!\mathbf{A}}
A
⋅
A
A
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