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  1. The slope of a line or flat surface can be specified: (a) by the angle; (b) as a ratio combined with the slope symbol; (c) by the dimensions showing the difference in the heights of two points from the base line and the distance between them; (d) by the slope symbol, the base line length and the slope height.

  2. Jan 27, 2022 · Equation 1.3.1. Parametric Equations. x − x0, y − y0 = td. or, writing out in components, x − x0 = tdx y − y0 = tdy. These are called the parametric equations of the line, because they contain a free parameter, namely t. As t varies from − ∞ to ∞, the point (x0 + tdx, y0 + tdy) traverses the entire line.

  3. 1.3. Equations of Lines in 2d. A line in two dimensions can be specified by giving one point (x 0, y 0) on the line and one vector d = d x, d y whose direction is parallel to the line. If (x, y) is any point on the line then the vector , x − x 0, y − y 0 , whose tail is at (x 0, y 0) and whose head is at , (x, y), must be parallel to d and ...

    • Joel Feldman
  4. This is done to avoid confusion with other lines. Never draw leader lines entirely horizontal or vertical. Quiz. Directions: complete as indicated. Dimension this drawing. The dimensions are 3” long, 2 1/8” wide, 1 5/8” high with a 45 angle ½” deep. The angle begins as the midpoint of the 3” long dimension.

    • How do you specify a line in two dimensions?1
    • How do you specify a line in two dimensions?2
    • How do you specify a line in two dimensions?3
    • How do you specify a line in two dimensions?4
  5. In three dimensions, a line is determined by two equations. You can describe it as above parametrically (though now all points and vectors have three components), but you must find two vectors normal to (P2 - P1) to find equations that characterize it. You have infinite choice in doing so, but two convenient choices are. i( P2 - P1) and j(P2 - P1)

  6. Mar 7, 2014 · 1. Similar to the first answer, we can represent a line in n-dimensions using vectors. An expression such as tv+u where v and u are n-dimensional vectors and t is a scalar. The vector v essential gives the inclination of the plane within n-space, and the vector u selects one out of an infinite number of planes that have the same inclination.

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  8. To add a dimension to a sketch or drawing: Click Smart Dimension on the Dimensions/Relations toolbar, or click Tools > Dimensions > Smart. The default dimension type is Parallel. Optionally, you can choose a different dimension type from the shortcut menu. Right-click the sketch, and select More Dimensions.

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