A vector field is specified as G = 24xyax + 12(x2 + 2)ay + 18z2az. Given two points, P(1, 2, −1) and Q(−2, 1, 3), find (a) G at P; (b) a unit vector in the direction of G at Q; (c) a unit vector directed from Q toward P; (d) the equation of the surface on which |G| = 60.
2. Find the acute angle between the two vectors A = 2ax + ay + 3az and B = ax − 3ay + 2az by using the definition of (a) the dot product; (b) the cross product
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