273,1,2\frac{2}{7}\cdot \left\langle 3, 1, 2\right\rangle

The calculator will multiply the vector 3,1,2\left\langle 3, 1, 2\right\rangle by the scalar 27\frac{2}{7}, with steps shown.
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Your Input

Calculate 273,1,2\frac{2}{7}\cdot \left\langle 3, 1, 2\right\rangle.

Solution

Multiply each coordinate of the vector by the scalar:

(27)3,1,2=(27)(3),(27)(1),(27)(2)=67,27,47{\color{DarkBlue}\left(\frac{2}{7}\right)}\cdot \left\langle 3, 1, 2\right\rangle = \left\langle {\color{DarkBlue}\left(\frac{2}{7}\right)}\cdot \left(3\right), {\color{DarkBlue}\left(\frac{2}{7}\right)}\cdot \left(1\right), {\color{DarkBlue}\left(\frac{2}{7}\right)}\cdot \left(2\right)\right\rangle = \left\langle \frac{6}{7}, \frac{2}{7}, \frac{4}{7}\right\rangle

Answer

273,1,2=67,27,470.857142857142857,0.285714285714286,0.571428571428571\frac{2}{7}\cdot \left\langle 3, 1, 2\right\rangle = \left\langle \frac{6}{7}, \frac{2}{7}, \frac{4}{7}\right\rangle\approx \left\langle 0.857142857142857, 0.285714285714286, 0.571428571428571\right\rangleA