Question

multiple choice question
what must be true of vectors in order for them to be two - dimensional?
the vectors must be either at 0° or 180° to each other.
the vectors must be at an angle other than 0°, 90°, or 180° to each other.
the vectors must be at an angle other than 0° or 180° to each other.
the vectors must be at an angle other than 90° or 180° to each other.
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Explanation:

Two - dimensional vectors are not collinear. Vectors at \(0^{\circ}\) or \(180^{\circ}\) are collinear. So, for vectors to be two - dimensional, they must not be collinear (i.e., at an angle other than \(0^{\circ}\) or \(180^{\circ}\)).

Answer:

The vectors must be at an angle other than \(0^{\circ}\) or \(180^{\circ}\) to each other.