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 libgcov profiling error:/var/lib/wims/src/Lib/text.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/Lib/dir.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/wims.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/variables.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/var.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/test.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/texmath.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/score.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/rawmath.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/pedia.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/matrix.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/mathml.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/mathfonts.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/log.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/lines.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/insmath.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/html.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/files.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/exec.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/exam.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/evalue.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/config.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/compare.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/cleaning.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/calc.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) libgcov profiling error:/var/lib/wims/src/auth.gcda:Version mismatch - expected 14.2 (release) (B42*) got 12.2 (release) (B22*) $v_{i} \in ℝ^{2}$ 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 .

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Other exercises on:

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Description: click on a linear combination of 2D vectors. interactive exercises, online calculators and plotters, mathematical recreation and games
Keywords: interactive mathematics, interactive math, server side interactivity, algebra, linear_algebra, vectors