Rebecca Ward was born in Texas in 1984, and now currently is working in New York. While Ward has a very diverse and interesting portfolio, I specifically wanted to focus on her large scale, and occasionally three-dimensional line and vector drawings. Her work (best seen in the installation Seventeen is Sharp, 2009) features 2d and 3d lines that interact with the wall and space of the location she creates the installation. Using colorful electrical tape, she gives life to flat lines, bringing them out to create abstract forms. Her use of line in 3d space reflects principles of two dimensional drawing, which brings additional depth and texture to her pieces as well. A series of diagonal 3d lines in space takes on the life of hatching from a 2d perspective, while creating visual texture from alternate views. Ward has a variety of other installations and pieces, but I think Seventeen is Sharp best demonstrates the idea of drawing into space.
Here are some examples of her work in Seventeen is Sharp:

Ward, Seventeen is Sharp, electrical tape, 2009

Ward, Seventeen is Sharp, electrical tape, 2009

Ward, Seventeen is Sharp, electrical tape, 2009
Official Website: http://rebeccaward.net/