Answer to Question #14783 in Calculus for muntadhar
Question #14783
A vector has a magnitude of 5. When its tail is at the origin it lies between the positive xaxis and the negative yaxis and makes an angle of 38o with the x axis. Its ycomponent has a length of:
Expert's answer
Here is the illustration:
___________ +Ox
\ α=38°
 \
& \
 \
 \
 & \ V


Oy
V is our vector, Vx and Vy are his x and y components. Then:
V = 5
Vy = V*sinα = 5*sin38 ≈ 3.0783.
So, the vector's ycomponent has a length of approximately 3.0783.
___________ +Ox
\ α=38°
 \
& \
 \
 \
 & \ V


Oy
V is our vector, Vx and Vy are his x and y components. Then:
V = 5
Vy = V*sinα = 5*sin38 ≈ 3.0783.
So, the vector's ycomponent has a length of approximately 3.0783.
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