Find parametric equations of the line passing through (3, −1, −3) and perpendicular to the line pass- ing through (3, −2, 4) and (0, 3, 5).

Q: Find a parametric equation of the line passing through the point (3,-1,-3) and perpendicular to the…

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Q: Find a parametric representation of a straight line through (1,1,1) and (4,0,2), and sketch it.

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Q: Find parametric equations for the line described below. The line through the point P(-6, 0, -6) and…

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Q: 2) Find the parametric and symmetric equations for the line through (1, –1, 1) and parallel to the…

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Q: Select a parametric equation that represents the line that passes through the points (3,0,−2) and…

A: Find the direction vector of the line using the two points

Q: Find parametric equations for the line going through (5, 4, 6) and is perpendicular to the plane x −…

A: Here, By substituting the values of r0 and v in vector equation,

Q: Find the parametric equation of the lines passing through (4, -2, 5) and (-3, 0, 6)?

A: Consider the two given points (4,-2,5) and (-3,0,6). The objective of the problem is to find the…

Q: Give the parametric and symmetric equations of the line that passes through the point (4, –3, 5) and…

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Q: Find parametric equations for the lines in The line through (2, 4, 5) perpendicular to the plane 3x…

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Q: Find parametric equations of the line through (-1,0,1) that is parallel to 2i – 6 j+ k. -

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Q: Find the parametric equation of the line that passes through P(-2, 0, 3) and is parallel to the line…

A: Given that: Equation of line is:     x=-1+3t, y=2-2t, z=3+t  and the point is : P(-2, 0, 3)

Q: Find parametric equations of the line of intersection of the two planes. 9x + 8y - 9z = -3, -7x - 5y…

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Q: Find symmetric and parametric equations of the line through the two points (−3, 5, 2) and (1, −3,…

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Q: Find parametric equations of the line that is perpendicular to both i = (1,0,0) and i = (1,1,1) that…

A: Given that: i=<1, 0, 0>v=<1, 1, 1>and P(1, -2, -1)

Q: Choose the parametric equations that represent the line segment that goes through the points (1,4,…

A: Given points x0,y0,z0=(1,4,-5) and x1y1,z1=(2,2,-1)

Q: Find the parametric equations for the line segment from (5,-1,1) to (5,4,3)

A: The given points are 5, -1, 1 and 5, 4, 3. The parametric equation of a line segment joining the…

Q: Find parametric equations for the line of slope 2 that passes through the point (3, 5)

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Q: Find parametric equation of the line passing through point (4,2) and parallel to vector 7 = -i+5j.

A: Given: A line passes through the point (4, 2). The line is parallel to the direction vector…

Q: Find parametric equations of the line passing through the points (8, -5, 1) and (-4, -6, 2). Provide…

A: The given points are 8,-5,1 and -4,-6,2. We have to find the equation of the line passing through…

Q: Find the parametric equations of the line perpendicular to l1 and l2 that contains the point (-1.…

A: We have to find equation of a line which is passes through the point (-1,-1,-1) and Perpendicular to…

Q: Find the parametric equations and the symmetric equations of the line that passes through the points…

A: Given: A line is passing through the points P-1, 4, 3 and Q8, 10, 5.

Q: Find parametric equations for the line through the points P(-1,-1, 7) and Q(3, -4, -1) O x = 4t - 1,…

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Q: Find the parametric equation of the line through the points (−3, −2, 1) and(−1, −3, −1)

A: Given:

Q: How do you find the parametric and symmetric equation of the line passing through the point (3, 2,…

A: We have to find the parametric and symmetric form of the line perpendicular to the given plane at a…

Q: Find the parametric equations of the line contains point P (2, -1, 2) and tangent to the vector v =…

A: Given problem:- Find the parametric equations of the line contains point P (2,-1, 2) and tangent to…

Q: Give the parametric equation of the line that passes through the point (−4, 3, −5) and is…

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Q: The parametric equation of a line passing through A(1,1,1) and B(-1,2,0) is

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Q: Find the parametric equation for the line through the point (2,-3,1) and parallel to the vector…

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

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Q: Find parametric equations for the lines with the given description. Parallel to the line through (1,…

A: Consider the given points 1,1,0 and 0,-1,-2 Passes through the point 0,0,4

Q: Find the parametric equation of the line joining the pointsA(-5,-3,0) and B(7,1,4)

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Q: Find the parametric equation and symmetric equations for the line passing through the points (2, –2,…

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Q: Find parametric equations for the lines in The line through P(-2, 0, 3) and Q(3, 5, -2)

A: To find the parametric equation for PQ

Q: Find parametric equations of the line containing the .point (2, 3,-1) and normal to the plane x+…

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

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Q: Complete the parametric equations of the line through the points (7,-8,5) and (6,-4,8)

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Q: Give the parametric and symmetric equations of the line that passes through the point (4, –3,5) and…

A: we have to find the equation of line which is passes through the given point and perpendicular to…

Q: Find parametric equations for the lines in The line through P(1, 2, -1) and Q(-1, 0, 1)

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Q: Find parametric equations for the given curve. Line through (1, -2) with slope 3

A: we know that equation of line which passes through pointx1,y1 and slope is m given by y-y1=mx-x1…

Q: Find the parametric and symmetric equations for a line that passed through the points (2,0,8) and…

A: Representing the points as the points vectors we get,  2,0,8 and -2,6,4 The direction numbers are…

Q: Find parametric equations for the lines in The line through (1, 1, 1) parallel to the z-axis

A: Given: 1,1,1 parallel to z-axis

Q: Find parametric equations for the line of slope 2 that passes through the point 13, 52 .

A: Equation of line in the parametric form form when it is passes through point x1,y1 and slope 'r' is…

Q: Write the parametric equations of the line through the point P (-6, 4, 3), that is perpendicular to…

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Q: 3. Find the parametric equation of the line passing through the point (-1,0,3) and in the direction…

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Q: Find parametric equations for the line formed by the intersection of planes x+y-z=3 and 3x-y+3z=5.

A: First we find a point on the intersection of these planes with the plane z=0. And next find the…

Q: Find parametric equations of the line through the given points. (a) (2, −3, 1), (4, 2, 5) (b) (−3,…

A: The parametric form of a line passing through two points px1,y1,z1 and Qx2,y2,z2.Fix P-base…

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: Give the parametric and symmetric equations of the line that passes through the point (5,−1,3) and…

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Q: Provide parametric equations for the line passing through the coordinates (1, −3, 2) and…

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