A vector has an x-component of

−25.5
units and a y-component of 56.0 units. Find the magnitude and direction of the vector.Direction
° (counterclockwise from the +x-axis)

1 answer

Y/X = 56/-25.5 = -2.19608
Ar = -65.5o = Rerence angle.
A = -65.5 + 180 = 114.5o = Direction.

Mag. = Y/sinA = 56/sin114.5 = 61.5 Units

NOTE: If you draw the vector diagram showing 56 on the positive Y-axis and -25.5 on the negative X-axis, you can see that the Direction lies between 90
and 180o. Therefore, -65.5o cannot be the direction.