Vector Calculator

This calculator will add and subtract two vectors, with steps shown. It will also find the dot product, cross product, scalar projection, vector projection, angle betwen vectors, magnitude, unit vector, basis, orthonormal basis (using the Gram-Schmidt process), orthogonal complement, and triple product (both scalar and vector) and will multiply the vector by a scalar.

$$$\langle$$$ $$$\rangle$$$
Comma-separated.
$$$\langle$$$ $$$\rangle$$$
Comma-separated.

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Your Input

Calculate $$$\left\langle 7, 3, -1\right\rangle + \left\langle 4, 0, 3\right\rangle$$$.

Solution

$$$\left\langle {\color{BlueViolet}7}, {\color{Chartreuse}3}, {\color{Magenta}-1}\right\rangle + \left\langle {\color{BlueViolet}4}, {\color{Chartreuse}0}, {\color{Magenta}3}\right\rangle = \left\langle {\color{BlueViolet}\left(7\right)} + {\color{BlueViolet}\left(4\right)}, {\color{Chartreuse}\left(3\right)} + {\color{Chartreuse}\left(0\right)}, {\color{Magenta}\left(-1\right)} + {\color{Magenta}\left(3\right)}\right\rangle = \left\langle 11, 3, 2\right\rangle$$$

Answer

$$$\left\langle 7, 3, -1\right\rangle + \left\langle 4, 0, 3\right\rangle = \left\langle 11, 3, 2\right\rangle$$$A