# Vector shoot --- Introduction ---

This is a visual exercise on the linear combination of vectors (linear algebra): given a set of vectors ${v}_{1},...,{v}_{k}$ and a set of scalars ${a}_{1},...,{a}_{k}$, the linear combination

$u={a}_{1}{v}_{1}+{a}_{2}{v}_{2}+...+{a}_{k}{v}_{k}$

is a vector.

Therefore the exercise gives you the vectors ${v}_{i}\in {ℝ}^{2}$ described graphically in a figure, as well as the concrete values of the coefficients ${a}_{i}$. And you are asked to click on the point in the figure which you think is the end of the vector $u$ (a shot).

At the end of a session composed of several shots, you will be given a score computed according to the average precision of your shots during the session.

Choose a level of difficulty : 1 , 2 , 3 , 4 , 5 , 6 .

Other exercises on:

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• Description: click on a linear combination of 2D vectors. This is the main site of WIMS (WWW Interactive Multipurpose Server): interactive exercises, online calculators and plotters, mathematical recreation and games
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