To determine the direction of the vector expression
−Bsin‌θ⟂, let's break it down step-by-step:
1. Understanding the given vectors:
2. Projection of
:
The term
Bsin‌θ is equivalent to the magnitude of the component of
that is perpendicular to
. Thus, multiplying it with
⟂ gives a vector component of
perpendicular to
, which can be written as:
Bsin‌θ⟂ 3. Subtracting the perpendicular component from
:
When we subtract this perpendicular component from
, we get:
−Bsin‌θ⟂This operation essentially removes the part of
that is perpendicular to
, leaving only the component of
that is parallel to
.
4. Conclusion:
The resulting vector will be pointing in the direction along
because the perpendicular component has been removed. Thus, the direction of
−Bsin‌θ⟂ is along
Therefore, the correct answer is:
Option C: along
.