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

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

$$$\left\langle {\color{Blue}1}, {\color{Chocolate}0}, {\color{Crimson}1}\right\rangle - \left\langle {\color{Blue}0}, {\color{Chocolate}\frac{12}{25}}, {\color{Crimson}\frac{16}{25}}\right\rangle = \left\langle {\color{Blue}\left(1\right)} - {\color{Blue}\left(0\right)}, {\color{Chocolate}\left(0\right)} - {\color{Chocolate}\left(\frac{12}{25}\right)}, {\color{Crimson}\left(1\right)} - {\color{Crimson}\left(\frac{16}{25}\right)}\right\rangle = \left\langle 1, - \frac{12}{25}, \frac{9}{25}\right\rangle$$$

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