Given the following information about the non-zero vectors

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

Problem

Given the following information about the non-zero vectors A\mathbf{A} , B\mathbf{B} and C\mathbf{C} - (A×B)×A=0(\mathbf{A} \times \mathbf{B}) \times \mathbf{A} = 0 - B⋅B=4\mathbf{B} \cdot \mathbf{B} = 4 - A⋅B=−6\mathbf{A} \cdot \mathbf{B} = -6 - B⋅C=6\mathbf{B} \cdot \mathbf{C} = 6 Which one of the following holds good? (1) A×B=0\mathbf{A} \times \mathbf{B} = 0 (2) A⋅(B×C)=0\mathbf{A} \cdot (\mathbf{B} \times \mathbf{C}) = 0 (3) A⋅A=8\mathbf{A} \cdot \mathbf{A} = 8 (4) A⋅C=−9\mathbf{A} \cdot \mathbf{C} = -9

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