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Mathematics
Problem
If two non-zero vectors
a
\mathbf{a}
a
and
b
\mathbf{b}
b
satisfy
a
⋅
b
=
−
∣
a
∣
∣
b
∣
\mathbf{a}\cdot\mathbf{b}= -|\mathbf{a}|\,|\mathbf{b}|
a
⋅
b
=
−
∣
a
∣
∣
b
∣
, find the angle between them and state whether they point in the same direction or in opposite directions.
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