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Problem Let A , B \mathbf{A}, \mathbf{B} A , B C \mathbf{C} C A ⋅ B = A ⋅ C = 0 \mathbf{A} \cdot \mathbf{B} = \mathbf{A} \cdot \mathbf{C} = 0 A ⋅ B = A ⋅ C = 0 B \mathbf{B} B C \mathbf{C} C π 4 \frac{\pi}{4} 4 π A = ± 2 ( B × C ) \mathbf{A} = \pm 2(\mathbf{B} \times \mathbf{C}) A = ± 2 ( B × C ) A = ± 2 ( B × C ) \mathbf{A} = \pm \sqrt{2}(\mathbf{B} \times \mathbf{C}) A = ± 2 ( B × C ) A = ± 3 ( B + C ) \mathbf{A} = \pm 3(\mathbf{B} + \mathbf{C}) A = ± 3 ( B + C ) A = ± 3 ( B × C ) \mathbf{A} = \pm \sqrt{3}(\mathbf{B} \times \mathbf{C}) A = ± 3 ( B × C ) Browse the problem library