List of top Engineering Mathematics Questions on Vector Calculus asked in AP PGECET

If \( \vec{a}, \vec{b}, \vec{c} \) are unit vectors, then \( |\vec{a}-\vec{b}|^2 + |\vec{b}-\vec{c}|^2 + |\vec{c}-\vec{a}|^2 \) does not exceed
Find the greatest value of the directional derivative of the function \( f = x^2 y z^3 \) at (2,1,-1)