In: Physics
Vector A = (-2, 2.4) and vector B = (4, 2.3). Find the magnitude of the component of A perpendicular to the direction of B
Let the direction of the vector
is denoted
by
. And so,
the magnitude B of the vector
is defined
by
And the components of the vector
along
and
perpendicular to
are written
as
Where, the component vector
is along the direction
and the
component vector
is perpendicular to the direction
. So, we can
write

And so, we can write

And so, we get


So, the mod squared of the perpendicular component
is given by



And now, given the vectors
we compute

And so, we have
