Mathegoras

Vectors and matrices › Lines, planes and vectors in space › Angles between vectors and planes

Angle between a unit vector and a given vector

High school · ●○○○○ 10 pts

Let a→\overrightarrow{a} be a unit vector and b→=(1,3)\overrightarrow{b}=(1, \sqrt{3}). Given that a→⋅b→=1\overrightarrow{a} \cdot \overrightarrow{b}=1, find the angle between a→\overrightarrow{a} and b→\overrightarrow{b} in degrees.

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dot productangle between vectorsunit vectorsmagnitude of a vector