Using vector algebraic operations. Four vectors drawn from a common point are given as follows: A = 2a B = ma + a2 C = aj + ma, + 2a3 D = m²a¡ + maż + az ma2 a3 2a3 Find the value(s) of m for each of the following cases: (a) A is perpendicular to B; (b) B is parallel to C; (c) A, B, and C lie in the same plane; and (d) D is per- pendicular to both A and B.

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