Physics

Problem

If the resultant of three forces

\mathbf{F}_1 = p\mathbf{i} + 3\mathbf{j} - \mathbf{k}

\mathbf{F}_2 = -5\mathbf{i} + \mathbf{j} + 2\mathbf{k}

and

\mathbf{F}_3 = 6\mathbf{i} - \mathbf{k}

acting on a particle has magnitude equal to 5 units, then the value(s) of

p

is (are) (A) -6 (B) -4 (C) 2 (D) 4