A vector has an x component of -21.5 units and a
y component of 42.0 units. Find the magnitude and
direction of the vector.
units at ° counterclockwise from the
+x-axis
We can find the magnitude of the vector |a| from the formula
|a| = √ax^2+ay^2
= √(-21.5)^2+(42)^2 = 47.183unit
We can find the direction of the vector from the formula:
α = tan^-1 ay/ax
= tan^-1 = 42/-21.5 = 62.891
However, we must add 180°to obtain the correct answer
α = -62.891+180 = 117.109deg
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