$$$\left\langle 1, 0, 1\right\rangle - \left\langle 0, \frac{12}{25}, \frac{16}{25}\right\rangle$$$

The calculator will subtract the vector $$$\left\langle 0, \frac{12}{25}, \frac{16}{25}\right\rangle$$$ from the vector $$$\left\langle 1, 0, 1\right\rangle$$$, with steps shown.

Your Input

Calculate $$$\left\langle 1, 0, 1\right\rangle - \left\langle 0, \frac{12}{25}, \frac{16}{25}\right\rangle$$$.

Solution

$$$\left\langle {\color{Purple}1}, {\color{BlueViolet}0}, {\color{Chartreuse}1}\right\rangle - \left\langle {\color{Purple}0}, {\color{BlueViolet}\frac{12}{25}}, {\color{Chartreuse}\frac{16}{25}}\right\rangle = \left\langle {\color{Purple}\left(1\right)} - {\color{Purple}\left(0\right)}, {\color{BlueViolet}\left(0\right)} - {\color{BlueViolet}\left(\frac{12}{25}\right)}, {\color{Chartreuse}\left(1\right)} - {\color{Chartreuse}\left(\frac{16}{25}\right)}\right\rangle = \left\langle 1, - \frac{12}{25}, \frac{9}{25}\right\rangle$$$

Answer

$$$\left\langle 1, 0, 1\right\rangle - \left\langle 0, \frac{12}{25}, \frac{16}{25}\right\rangle = \left\langle 1, - \frac{12}{25}, \frac{9}{25}\right\rangle = \left\langle 1, -0.48, 0.36\right\rangle$$$A