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  • https://math.libretexts.org/Courses/Mount_Royal_University/Linear_Algebra_with_Applications_(Nicholson)/4%3A_Vector_Geometry/4.1%3A_Vectors_and_Lines
    In this chapter we study the geometry of 3-dimensional space. We view a point in 3-space as an arrow from the origin to that point. Doing so provides a “picture” of the point that is truly worth a tho...In this chapter we study the geometry of 3-dimensional space. We view a point in 3-space as an arrow from the origin to that point. Doing so provides a “picture” of the point that is truly worth a thousand words. We used this idea earlier to describe rotations, reflections, and projections of the plane R2. We now apply the same techniques to 3-space to examine similar transformations of \RR3. Moreover, the method enables us to completely describe all lines and planes in space.
  • https://math.libretexts.org/Bookshelves/Linear_Algebra/Linear_Algebra_with_Applications_(Nicholson)/04%3A_Vector_Geometry/4.01%3A_Vectors_and_Lines
    In this chapter we study the geometry of 3-dimensional space. We view a point in 3-space as an arrow from the origin to that point. Doing so provides a “picture” of the point that is truly worth a tho...In this chapter we study the geometry of 3-dimensional space. We view a point in 3-space as an arrow from the origin to that point. Doing so provides a “picture” of the point that is truly worth a thousand words. We used this idea earlier to describe rotations, reflections, and projections of the plane R2. We now apply the same techniques to 3-space to examine similar transformations of \RR3. Moreover, the method enables us to completely describe all lines and planes in space.

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