Unlike the first fundamental form, this construct appears in the definition of the coefficients of the second fundamental form. Negative torsion multiplies this construct in one of the Frenet-Serret formulas, which relates it to a construct whose name prepends "bi-" to this construct's name. This construct points toward the center of the osculating circle. A choice of two possible signs for this construct determines the orientation of a surface. One of these constructs and an arbitrary point on the plane yield the simplest vector definition of a two-dimensional plane. If a line has slope m, this vector points along a line of slope "negative one over m." In two dimensions, this vector is defined by being at 90 degrees to the tangent vector. For 10 points, name this vector that, at a given point, is perpendicular to a curve. ■END■
ANSWER: normal vector [or n or unit normal vector or normal line]
<Joseph Krol , Science - Other - Math Pure>
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