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10 cards from this deck
∣v∣=vx2+vy2+vz2|\mathbf{v}| = \sqrt{v_x^2 + v_y^2 + v_z^2}∣v∣=vx2+vy2+vz2
axbx+ayby+azbza_x b_x + a_y b_y + a_z b_zaxbx+ayby+azbz
∣a∣∣b∣cosθ|\mathbf{a}| |\mathbf{b}| \cos \theta∣a∣∣b∣cosθ
a⋅b∣a∣∣b∣\frac{\mathbf{a} \cdot \mathbf{b}}{|\mathbf{a}| |\mathbf{b}|}∣a∣∣b∣a⋅b
Perpendicular to both a\mathbf{a}a and b\mathbf{b}b
Area of parallelogram formed by a\mathbf{a}a and b\mathbf{b}b
(ax+bxay+byaz+bz)\begin{pmatrix} a_x + b_x \\ a_y + b_y \\ a_z + b_z \end{pmatrix}ax+bxay+byaz+bz
i,j,k\mathbf{i}, \mathbf{j}, \mathbf{k}i,j,k
∣a⋅(b×c)∣|\mathbf{a} \cdot (\mathbf{b} \times \mathbf{c})|∣a⋅(b×c)∣
aybz−azbya_y b_z - a_z b_yaybz−azby
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