a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) The line passes through the point (2, 4, 1) and is parallel to the line given by x = y = z.

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A: Topic:- geometry

Q: Find a set of parametric equations of the line passes through the point P (1, 2, 3) and parallel to…

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Q: Find the parametric equations of the line that goes through the point P(−2, 0, 5) and is parallel to…

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Q: The following are parametric equations of the line through (x1, y1) and (x2, y2): x = x1 + t(x2 -…

A: From x = x1 + t(x2 - x1) we get: x-x1=tx2-x1 t=x-x1x2-x1   From y = y1 + t(y2 - y1) we get:…

Q: 11. Find parametric equations for the line that contains the points P(2, -4, 7) and Q(0, –3, 5).

A: If Px0 ,y0,z0 and Qx1,y1,z1 are any two points then the parametric equation of the line containing…

Q: The parametric equation of the line through the points (2, –4,1), (2, –4,1) and (0,4, –10) is: A. x…

A:

Q: A line passes through the point (9,1, – 1), and is parallel to the vector 7i + 3j + 7k. Find the…

A: We find the direction cosine first. As we know that the line is parallel to 7i+3j+7k So the…

Q: (a) Find the parametric equation of the line that contains the two points A = (-4,0, –1) and B (3,…

A: (a) Here first we find vector v = AB = OB-OA, then the equation of line will be (x, y, z) = A + t v…

Q: Find parametric equations for the line that passes through the points P and Q. P(1, –2, 3), Q(5, 1,…

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Q: Find a set of parametric equations of the line. (Enter your answers as a comma-separated list.) The…

A: We need to find parametric equation of line.

Q: 16. Consider the points A(-1,2,3) and B(4,-1,2). a. Determine the parametric and symmetric equations…

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Q: 2. Find the parametric equations of the line passing through the point (-1,4, -3) and is parallel to…

A:

Q: Find parametric equations for the line through P = (4, 0, 3) and Q = (3, 5, −5). Use them to find…

A: Given P (4,0,3) and Q (3,5,-5) So, r0=4,0,3 v=3,5,-5-4,0,3  =-1,5,-8 The parametric equation is…

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A:

Q: Find a set of parametric equations for the line passing through the point (7, 0, 1) that is parallel…

A:

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A: Given,            The line passes through the point -1,4,-8 and is parallel to v=4i-j.To find : Find…

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A:

Q: Suppose parametric equations for the line segment between (6, 2) and (1, - 5) have the form: S(t) =…

A: Image is attached with detailed solution.

Q: Find a set of parametric equations of the line with the given characteristics. The line passes…

A: Let us assume that the given line is line1 to which our line AB is parallel. The equation of line1…

Q: Write the Cartesian equation of the line given by the parametric equations æ(t) y(t) z(t) 5 – 4t -1-…

A: Givenx(t)=5-4ty(t)=-1-6tz(t)=6tIt means thatx-5-4=ty+1-6=tz-06=tcan also be written…

Q: Complete the parametric equations of the line through the points (1,-2,2) and (4,-3,6) a(t) = 1+ 3t…

A:

Q: 5. Find parametric equations for the line through the points (1, 3, 0) and (2, 4, 4).

A: 5. Given that, the points are 1,3,0 and 2,4,4. Note that, the symmetric equation of the a straight…

Q: 2. Given 4(2,–1, 1), B(-1,0,1), and C(-1,-1, 2) Parametric equation of the line through а. A and C

A:

Q: find parametric equations for the lines with the given description.  Passes through (1, −1, 0) and…

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Q: Find a set of parametric equations of the line with the given characteristics. The line passes…

A: We have to find a set of parametric equations of the line with the given characteristicsThe line…

Q: Suppose parametric equations for the line segment between (0,-10) and (8,-1) have the form: a + bt…

A:

Q: The following are parametric equations of the line through (x1, y1) and (x2, y2):x = x1 + t(x2 - x1)…

A: Given: the parametric equations of the line through (x1, y1) and (x2, y2)x=x1+t…

Q: A line passes through the points P(4,1, - 8) and Q(- 6,8,7). Find the standard parametric equations…

A: Ans is given below

Q: 3. What is the parametric equation for the line through the point (1 ,2, 3) parallel to the x- axis?…

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Q: 5. Find the parametric equations of a line through (1, 0, -1) and parallel to the line -(x-4) 1 y =…

A: Consider the given equation of the line. Converting it into the standard form and taking the…

Q: Find parametric equations for the line through the point, that is parallel to the given plane, and…

A: given point 0,2,2 given plane x+y+z=3 given line x=1+t,y=2-t,z=2t

Q: Find parametric equations for the line described below. The line through the point P(3, 2, 4) and…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A:

Q: A line passes through the points P (1, 2, 5) and Q (-3, 2, 1). Which one of these is a set of…

A: Topic:- geometry

Q: Complete the parametric equations of the line through the points (7,3,-5) and (0,6,1) x(t) = 7 - 7t…

A:

Q: Find parametric equations for the line that contains the points P(3, −7, 4) and Q(0, −9, 8). (Use…

A: Given the points:

Q: Find a set of parametric equations of the line with the given characteristics. (Use t for the…

A: The line passes through the point (−1, 4, -2) and is parallel to v = 5i − j

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A:

Q: d a set of parametric equations for the tangent line to the curve of intersection of the surfaces at…

A: Given surfaces are z=x2+y2 and z=16-y at the point 4,-1,17. To find a set of parametric equations…

Q: 6) Find parametric equations for the line through P(0, -2,-2) and Q(1,1,0).

A:

Q: Find the parametric equations for the line passing through points P(2, -3, 1) and Q(4, 1, -4)

A: Given points are  P2,-3,1,Q4,1,-4

Q: Find a set of parametric equations of the line with the given characteristics. The line passes…

A: Solution :     by theorem,  The vector equation of a straight line passing through a fixed point…

Q: (a) Find the parametric equations for the line segment that joins P(1, 0, 1) to Q(2, 3, 1).

A: Given, P(1,01), Q(2,3,1)

Q: 2. Find the parametric equations for the line through (3, –2,5) and (2,3,0). 3 Find the equation of…

A: To find the parametric equation for the line through 3, -2, 5 and 2, 3, 0

Q: 6) Find the following: a) An equation of the plane passing through the points P(2,1, 10, Q(-1, -1,…

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Q: The parametric equations for a line L7 are as follows: x =-5+4t y =-5+6t z= 1-4t Let L2 be the line…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A: This question is related to equation of straight line in three dimensions, we will solve it using…

Q: 4. ( Consider points P(1,0, 1), Q(-2,1,3), and R(4,2,5). (a) Find the parametric equations of the…

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Q: Find parametric equations for the line through (8,4,6) parallel to the x-axis. X = y = - o <t< ∞

A: The equation passing through point (8,4,6). The parametric equation passing through point (8,4,6)…

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A: To find the parametric equation of a line that passes through (-1, 4, -6) and is parallel to given…