2. Let E denote the parallelepiped with corners (0, 0, 0), (1, 2, 1), (2,3,0), (-1,0, 1), (3, 5, 1), (0, 2, 3), (1,3,1), and (2, 5,2). Find the average a coordinate of a point in E.

Q: 5. Consider the line segment AB shown below. The points A = (1, h) and B (5, 7) are equidistant from…

A:

Q: Let L, be the line passing through the point P=(8, -6, 0) with direction vector a=-3, 3, 1]", and…

A: Given, L1 is the line passing through the point P1=8,-6,0 with the direction vector d1→=-3,3,1T. So,…

Q: x+2 What is the equation of the normal line of y = at the point x = 1? 2x+1

A: Let us consider function y=f(x) The normal line of function y=f(x) at point x0 is given by formulae:…

Q: 1. Find the orthogonal trajectory for the family of straight lines passing through (-2,-3) and draw…

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Q: Do the points (0.5, 1), (1, 1.2), (2, 2) lie on a line?

A: Three points will lie on same line if slope of any two point is same as other two points, taken two…

Q: Find the plane z = a + bx + cy that best fits the data points (0, -4, 0), (5, 0, 0), (3, -1, 1), (1,…

A: Data points 0,-4 , 0 ,5 , 0 ,0 ,3 , -1 , 1 ,1 , -2 ,1 ,1,-5 , -3. To Find: The plane z=a+bx+cy that…

Q: If a line L is parallel to the y-axis and pass through the point (1, 0, 1), which of the following…

A: Given query is to find the point which are on line L.

Q: Let L7 be the line passing through the points Q1=(3,-5, –1) and Q2=(0, 4, –10). Find a value of k so…

A: Given that L1 be the passing through the points Q1=(3,-5,-1) and Q2=(0,4,-10). And the line  L2 be…

Q: The vertices of AJKL are J(-3, 4), K(3, 0), and L(-5, -4). The equation of the median JLis y = 0.…

A:

Q: Find the equation of a line parallel to 2x+y-3-0 passing through (-2, 3). 2y + x + 1 = 0 none of…

A: As per guidelines i can only solve the first question in multiple questions.Finding the equation of…

Q: 13) Find the equation in slope-intercept form that is tangent to (x- 1)² + (y + 2)² = 25 and passes…

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Q: Let Lz be the line passing through the point P-(10, 1. –10) with direction vector d--2, -2, 3]", and…

A: We will use formula for the shortest distance.

Q: Find the exact distance between the skew lines = (-3,-2,4) + t(1,-1,1) and p = (1,3,0) + t(-2,-3,3)

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Q: How to calculate the slpoe of the lines given (0,0) (5,2)?

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Q: Let Lz be the line passing through the points Q1=(1, 3, 1) and Q2=(7, 12, 4). Find a value of k so…

A: We will solve the problem

Q: Let L, be the line passing through the point P-(1, -7, 5) with direction vector d-[1,-2, 0], and let…

A:

Q: 2) Consider a set of points {(-2,-18), (-1, -7), (0, -2), (1, -3), (2, -10)}. a) The least squares…

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Q: 3. Find the best values of a, and a, if the line y=a₁x+a is fitted to the d (0,1),(2,5), (5,12),…

A: this is question  of geometry  here line equation  is given  and point are given we have to find…

Q: A company’s profit increased linearly from $6million at the end of year 1 to $14 million at the end…

A:

Q: One of the endpoints of line segment AB is A(11,16). Determine the coordinates of point B if the…

A: LIne segment AB is givenA(11,16)midpoint M(52,92)To find: B(?,?)