$$$\left\langle 1, 1, 3\right\rangle - \left\langle 0, \frac{9}{5}, \frac{12}{5}\right\rangle$$$

The calculator will subtract the vector $$$\left\langle 0, \frac{9}{5}, \frac{12}{5}\right\rangle$$$ from the vector $$$\left\langle 1, 1, 3\right\rangle$$$, with steps shown.

Your Input

Calculate $$$\left\langle 1, 1, 3\right\rangle - \left\langle 0, \frac{9}{5}, \frac{12}{5}\right\rangle$$$.

Solution

$$$\left\langle {\color{OrangeRed}1}, {\color{Brown}1}, {\color{Peru}3}\right\rangle - \left\langle {\color{OrangeRed}0}, {\color{Brown}\frac{9}{5}}, {\color{Peru}\frac{12}{5}}\right\rangle = \left\langle {\color{OrangeRed}\left(1\right)} - {\color{OrangeRed}\left(0\right)}, {\color{Brown}\left(1\right)} - {\color{Brown}\left(\frac{9}{5}\right)}, {\color{Peru}\left(3\right)} - {\color{Peru}\left(\frac{12}{5}\right)}\right\rangle = \left\langle 1, - \frac{4}{5}, \frac{3}{5}\right\rangle$$$

Answer

$$$\left\langle 1, 1, 3\right\rangle - \left\langle 0, \frac{9}{5}, \frac{12}{5}\right\rangle = \left\langle 1, - \frac{4}{5}, \frac{3}{5}\right\rangle = \left\langle 1, -0.8, 0.6\right\rangle$$$A