what is the vector component of b in the direction of vector a
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➺The vector projection of b onto a is the vector with this length that begins at the point A points in the same direction (or opposite direction if the scalar projection is negative) as a. This quantity is also called the component of b in the a direction (hence the notation comp).
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let there be 2 vectors a and b and the angle between the vectors be A.
the components of vector b would be
- perpendicular to vector a
- along vector a
we want the magnitude of the vector along vector a and the angle between them is A.
applying component of vectors,
bcos(A)=vector along a
where b is the magnitude and A is the angle between the vectors.
so,
is the expression.
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