Let , and be three unit vectors such that . Then which of the following statements is…

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Let a\mathbf{a} , b\mathbf{b} and c\mathbf{c} be three unit vectors such that 3a+4b+5c=03\mathbf{a} + 4\mathbf{b} + 5\mathbf{c} = \mathbf{0} . Then which of the following statements is true? (1) a\mathbf{a} is parallel to b\mathbf{b} (2) a\mathbf{a} is perpendicular to b\mathbf{b} (3) a\mathbf{a} is neither parallel nor perpendicular to b\mathbf{b} (4) None of the above

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