If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please contact us.
Calculate 15⋅⟨3,4⟩\frac{1}{5}\cdot \left\langle 3, 4\right\rangle51⋅⟨3,4⟩.
Multiply each coordinate of the vector by the scalar:
(15)⋅⟨3,4⟩=⟨(15)⋅(3),(15)⋅(4)⟩=⟨35,45⟩{\color{DeepPink}\left(\frac{1}{5}\right)}\cdot \left\langle 3, 4\right\rangle = \left\langle {\color{DeepPink}\left(\frac{1}{5}\right)}\cdot \left(3\right), {\color{DeepPink}\left(\frac{1}{5}\right)}\cdot \left(4\right)\right\rangle = \left\langle \frac{3}{5}, \frac{4}{5}\right\rangle(51)⋅⟨3,4⟩=⟨(51)⋅(3),(51)⋅(4)⟩=⟨53,54⟩
15⋅⟨3,4⟩=⟨35,45⟩=⟨0.6,0.8⟩\frac{1}{5}\cdot \left\langle 3, 4\right\rangle = \left\langle \frac{3}{5}, \frac{4}{5}\right\rangle = \left\langle 0.6, 0.8\right\rangle51⋅⟨3,4⟩=⟨53,54⟩=⟨0.6,0.8⟩A