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First, we note that two planes are perpendicular if and only if their normal vectors are perpendicular. Thus, we seek a vector $\langle a,b,c\rangle$ that is perpendicular to $\langle 1,1,-2\rangle$. In addition, since the desired plane is to contain a certain line, $\langle a,b,c\rangle$ must be perpendicular to any vector parallel to this line. . As we've discussed, R2 and \the plane " mean the same thing, and objects in the plane are interchangeably called \points" or \ vectors ". There is another style choice in talking about vectors in R2. Some write vectors (or points) as a row of numbers, so that (3;2) is the vector in R2 whose x-coordinate equals 3 and whose y-coordinate equals 2.. To do so we use Analytic Geometry, Linear Algebra, Vector Calculus and Dierential Geom-etry, and we exemplify the relationships between these disciplines. These additional points are called ideal. Let us turn now to Figure 2.5. The segment EEp is perpendicular to the image plane and Ep belongs to this. whole plane of vectors perpendicular tou 2 , and a whole circle of unit vectors in that. answer isn+ 1 vectors from the center of a regular simplex inR. n to itsn+ 1. vertices all have negative dot products. . First, we note that two planes are perpendicular if and only if their normal vectors are perpendicular . Thus, we seek a vector $\langle a,b,c\rangle$ that is perpendicular to $\langle 1,1,-2\rangle$. In addition, since the desired plane is to contain a certain line, $\langle a,b,c\rangle$ must be perpendicular to any vector parallel to this.
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