MathProblemsBank

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.

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