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- Vector Calculator

This calculator performs all vector operations. You can add, subtract, find length, find dot and cross product, check if vectors are dependent. For every operation, calculator will generate a detailed explanation.

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examples

example 1:ex 1:

Given vector $v_1 = (8, -4)$, calculate the the magnitude.

example 2:ex 2:

Calculate the difference of vectors $v_1 = \left(\frac{3}{4}, 2\right)$ and $v_2 = (3, -2)$.

example 3:ex 3:

Calculate the dot product of vectors $v_1 = \left(-\frac{1}{4}, \frac{2}{5}\right)$ and $v_2 = \left(-5, -\frac{5}{4}\right)$.

example 4:ex 4:

Find the angle between the vectors $v_1 = (3, 5, −7)$ and $v_2 = (-3, 4, -2)$.

example 5:ex 5:

Find the cross product of $v_1 = (-2, \frac{2}{3}, −3)$ and $v_2 = (4, 0, -\frac{1}{2})$.

example 6:ex 6:

Determine if the following set of vectors is linearly independent: $v_1 = (3, -2, 4)$ , $v_2 = (1, -2, 3)$ and $v_3 = (3, 2, -1)$.

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