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15⋅⟨3,4⟩\frac{1}{5}\cdot \left\langle 3, 4\right\rangle

The calculator will multiply the vector ⟨3,4⟩\left\langle 3, 4\right\rangle by the scalar 15\frac{1}{5}, with steps shown.
⟨\langle ⟩\rangle
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Your Input

Calculate 15⋅⟨3,4⟩\frac{1}{5}\cdot \left\langle 3, 4\right\rangle.

Solution

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

Answer

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\rangleA