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10 questions from this quiz
A point and two non-parallel vectors
To span the entire plane surface
A vector perpendicular to the plane
Calculate a×b\mathbf{a} \times \mathbf{b}a×b
a⋅n\mathbf{a} \cdot \mathbf{n}a⋅n
The normal vector to the plane
sinθ=∣b⋅n∣∣b∣∣n∣\sin \theta = \frac{|\mathbf{b} \cdot \mathbf{n}|}{|\mathbf{b}||\mathbf{n}|}sinθ=∣b∣∣n∣∣b⋅n∣
cosθ=∣n1⋅n2∣∣n1∣∣n2∣\cos \theta = \frac{|\mathbf{n}_1 \cdot \mathbf{n}_2|}{|\mathbf{n}_1||\mathbf{n}_2|}cosθ=∣n1∣∣n2∣∣n1⋅n2∣
Check normals parallel, then check a point
Vector equation form
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