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Mathematics
Mathematics
Problem
For a non-zero vector
A
\mathbf{A}
A
, a unit vector opposite in direction to
A
\mathbf{A}
A
is required. Which of the following choices is always correct? a)
−
A
∣
A
∣
-\mathbf A|\mathbf A|
−
A
∣
A
∣
b)
A
∣
A
∣
\dfrac{\mathbf A}{|\mathbf A|}
∣
A
∣
A
c)
−
A
∣
A
∣
-\dfrac{\mathbf A}{|\mathbf A|}
−
∣
A
∣
A
d)
−
A
∣
A
∣
2
-\dfrac{\mathbf A}{|\mathbf A|^{2}}
−
∣
A
∣
2
A
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