Mathematics
Mathematics, 26.07.2019 13:40, ahmadfarriz5948

Find the distance d between the point (1, 5, 4) and the line passing through the points (−1, 5, −1) and (1, 3, 5)

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Mathematics, 18.07.2019 04:30, deannajd03
Find a parametric representation for the line passing through the following pairs of points. (a) p_1 = (l, 3, -1) and p_2 = (-4, 1, 2) (b) p, =(-1, 5, 3) and p_2 = (-2, 4, 7) find a parametric representation for the line passing through the following points. (1, 1, -1) and (-2, 1, 3) (-1, 5, 2) and (3, -4, 1) let p = (1, 3, -1) and q = (-4, 5, 2). determine the coordinates of the following points: (a) the midpoint of the line segment between p and q. (b) the two points on this line segment lying one-third and two-thirds of the way from p to q. the point lying one-fifth of the way from p to q. the point lying two-fifths of the way from p to q. if p, q are two arbitrary points in n-space, give the general formula for the midpoint of the line segment between p and q.
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Mathematics, 27.09.2019 07:30, gabby902
1. determine the equation of a line passing through the point (5, -3) with an undetermined slope. 2.use point-slope form to find the equation of the line passing through the point (0, 5) with a slope of 2/3. 3. use point-slope form to find a line passing through the point (2, 8) and parallel to the line = 5/6 x-1 4. use point-slope form to find a line perpendicular to y x = −2x+9 passing through the point (4, 7). 5. find the equation of a line passing through the points (-3, 6) and (1, 2). 6. find the equation of a line with an x-intercept (2, 0) and a y-intercept (0, 3)
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Mathematics, 03.10.2019 01:00, princess6039
Nearest point to a line. let a and b be different n-vectors. the line passing through a and b is given by the set of vectors of the form (1−θ)a+θb, where θ is a scalar that determines the particular point on the line. (see page 18.) let x be any n-vector. find a formula for the point p on the line that is closest to x. the point p is called the projection of x onto the line. show that (p − x) ⊥ (a − b), and draw a simple picture illustrating this in 2-d. hint. work with the square of the distance between a point on the line and x, i.e., ∥(1 − θ)a + θb − x∥2. expand this, and minimize over θ.
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Mathematics, 16.10.2019 09:01, FireStorm4346
the“mechanical aspects” of working with linear equations. find the equation of a line: a. passing through the points (1, − 1) and (−2,4).b. passing through the point (−1, − 2) with slope m = 40.c. with y-intercept b = −2 and slope m = −2.d. passing through the point (4,11) and having slope m = 0.e. perpendicular to the line in (a) and passing through (1,1).f. parallel to the line in (b) and having y-intercept b = −14.g. having the equation 3x + 4y = 7.h. crossing the x-axis at x = 1 and having slope m = 1.
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Find the distance d between the point (1, 5, 4) and the line passing through the points (−1, 5, −1)...

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