Scalar dot product

Calculate u.v if |u| = 5, |v| = 2 and when angle between the vectors u, v is:

a) 60°
b) 45°
c) 120°

Result

a =  5
b =  7.071
c =  -5

Solution:

a=5 2 cos((60rad)=(60 π180 )=)=5a=5 \cdot \ 2 \cdot \ \cos ( (60^\circ \rightarrow rad) = (60 \cdot \ \dfrac{ \pi }{ 180 } \ ) = ) = 5
b=5 2 cos((45rad)=(45 π180 )=)=7.071b=5 \cdot \ 2 \cdot \ \cos ( (45^\circ \rightarrow rad) = (45 \cdot \ \dfrac{ \pi }{ 180 } \ ) = ) = 7.071
c=5 2 cos((120rad)=(120 π180 )=)=5c=5 \cdot \ 2 \cdot \ \cos ( (120^\circ \rightarrow rad) = (120 \cdot \ \dfrac{ \pi }{ 180 } \ ) = ) = -5







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Following knowledge from mathematics are needed to solve this word math problem:

Two vectors given by its magnitudes and by included angle can be added by our vector sum calculator. Most natural application of trigonometry and trigonometric functions is a calculation of the triangles. Common and less common calculations of different types of triangles offers our triangle calculator. Word trigonometry comes from Greek and literally means triangle calculation.

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