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  • https://math.libretexts.org/Courses/Coastline_College/Math_C285%3A_Linear_Algebra_and_Diffrential_Equations_(Tran)/04%3A_R/4.03%3A_Geometric_Meaning_of_Vector_Addition
    Then \vec{u}+\vec{v} is the vector which results from drawing a vector from the tail of \vec{u} to the tip of \vec{v}. Next consider \vec{u}-\vec{v}. This means \(\vec{u}+\left( -\vec{...Then \vec{u}+\vec{v} is the vector which results from drawing a vector from the tail of \vec{u} to the tip of \vec{v}. Next consider \vec{u}-\vec{v}. This means \vec{u}+\left( -\vec{v} \right) . From the above geometric description of vector addition, -\vec{v} is the vector which has the same length but which points in the opposite direction to \vec{v}.

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