
1.12.18 Vector analysis
Condition: Simplify: \[ \begin{array}{l} (\bar{c}+\bar{a}, 2 \bar{a}-3 \bar{b}+\bar{c}, \bar{a}-2 \bar{b}+2 \bar{c})+ \\ +(\bar{a}-\bar{b}, \bar{a}, 2 \bar{a}-5 \bar{b}+\bar{c}) . \end{array}\]
Vector analysis. Scalar and vector fields, level surfaces, calculation of gradient, divergence and field curl.