The resultant of vectors

A⃗
and
B⃗
has a magnitude of 20 units.
A⃗
has a magnitude of 8 units, and the angle between
A⃗
and
B⃗
is
40o
. Calculate the magnitude of
B⃗

1 answer

8*Cos40 + 8*sin40 + B = 20
6.13 + 5.14i + B = 20
B = 20 - 6.13 - 5.14i
B = 13.87 - 5.14i
B = sqrt(13.87^2+5.14^2)