\(a\left( {x - {x_0}} \right) + b\left( {y - {y_0}} \right) + c\left( {z + {z_0}} \right) = 0.\)

\(a\left( {x - {x_0}} \right) + b\left( {y - {y_0}} \right) + c\left( {z - {z_0}} \right) = 0.\)

\(a\left( {x - {x_0}} \right) + b\left( {y - {y_0}} \right) - c\left( {z - {z_0}} \right) = 0.\)

\(a\left( {x - {x_0}} \right) + c\left( {y - {y_0}} \right) + b\left( {z - {z_0}} \right) = 0.\)

\(\frac{{\left| {{\rm{a}}{{\rm{x}}_0} + {\rm{b}}{{\rm{y}}_0} + {\rm{c}}{{\rm{z}}_0} + {\rm{d}}} \right|}}{{\sqrt {{{\rm{a}}^2} + {{\rm{b}}^2} + {{\rm{c}}^2} + {{\rm{d}}^2}} }}.\)

\(\frac{{\left| {{\rm{a}}{{\rm{x}}_0} + {\rm{b}}{{\rm{y}}_0} - {\rm{c}}{{\rm{z}}_0} + {\rm{d}}} \right|}}{{\sqrt {{{\rm{a}}^2} + {{\rm{b}}^2} + {{\rm{c}}^2}} }}.\)

\(\frac{{\left| {{\rm{a}}{{\rm{x}}_0} + {\rm{b}}{{\rm{y}}_0} + {\rm{c}}{{\rm{z}}_0} + {\rm{d}}} \right|}}{{\sqrt {{{\rm{a}}^2} + {{\rm{b}}^2} + {{\rm{c}}^2}} }}.\)

\(\frac{{\left| {{\rm{a}}{{\rm{x}}_0} + {\rm{c}}{{\rm{y}}_0} + {\rm{b}}{{\rm{z}}_0} + {\rm{d}}} \right|}}{{\sqrt {{{\rm{a}}^2} + {{\rm{b}}^2} + {{\rm{c}}^2}} }}.\)

\(\cos \varphi = \frac{{a{a^\prime } + b{b^\prime } + c{c^\prime }}}{{\sqrt {{a^2} + {b^2} + {c^2}} \cdot \sqrt {{a^{\prime 2}} + {b^{\prime 2}} + {c^{\prime 2}}} }}.\)

\(\sin \varphi = \frac{{a{a^\prime } + b{b^\prime } + {c^\prime }}}{{\sqrt {{a^2} + {b^2} + {c^2}} \cdot \sqrt {{a^{\prime 2}} + {b^{\prime 2}} + {c^{\prime 2}}} }}.\)

\(\sin \varphi = \frac{{\left| {{a^\prime } + {\rm{b}}{{\rm{b}}^\prime } + {\rm{cc}}} \right|}}{{\sqrt {{{\rm{a}}^2} + {{\rm{b}}^2} + {{\rm{c}}^2}} \cdot \sqrt {{{\rm{a}}^{\prime 2}} + {{\rm{b}}^{\prime 2}} + {{\rm{c}}^{\prime 2}}} }}.\)

\(\cos \varphi = \frac{{\left| {a{a^\prime } + {b^\prime } + c{c^\prime }} \right|}}{{\sqrt {{{\rm{a}}^2} + {{\rm{b}}^2} + {{\rm{c}}^2}} \cdot \sqrt {{{\rm{a}}^{\prime 2}} + {{\rm{b}}^{\prime 2}} + {{\rm{c}}^{\prime 2}}} }}.\)

\(\overrightarrow {{\rm{AB}}} .\)

\(\overrightarrow {{\rm{AC}}} .\)

\(\overrightarrow {{\rm{AD}}} .\)

\(\overrightarrow {{\rm{A}}{{\rm{A}}^\prime }} .\)

\(\overrightarrow {{\rm{AB}}} ,\overrightarrow {{{\rm{A}}^\prime }{{\rm{D}}^\prime }} .\)

\(\overrightarrow {{\rm{AB}}} ,\overrightarrow {{\rm{A}}{{\rm{D}}^\prime }} .\)

\(\overrightarrow {{\rm{AB}}} ,\overrightarrow {{\rm{A}}{{\rm{A}}^\prime }} .\)

\(\overrightarrow {{\rm{AB}}} ,\overrightarrow {{\rm{A}}{{\rm{B}}^\prime }} .\)

\(x = 0.\)

\({\rm{y}} = 0.\)

\({\rm{z}} = 0.\)

\(xyz = 0.\)

\(x = 0.\)

\({\rm{y}} = 0.\)

\(z = 0.\)

\(xyz = 0.\)