<PRE><B>Question 231690</B>
 the vector u(arrow above) has a magnitude of 4.3cm and a direction of 45 degrees.find the magnitude of its vertical component.
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Draw the terminal side of a 45 degree angle in an x/y coordinate system
Let the length of the side be 4.3 cm
Draw a line segment from the end point of the 4.3 cm line segment
perpendicular to the x-axis.
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That line segment is the vertical component.
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The magnitude of that component is 4.3sin(45) 
= 4.3(1/sqrt(2))is appox. 3.041 cm
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Cheers,
Stan H.
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