Equations of lines Find both the parametric and the vector equations of the following lines. The line through (1, -3, 4) that is parallel to the line x = 3 + 4t, y = 5 - t, z = 7

Q: MCV4U 8.1.3 Assessment Check: Vector and Parametric Equations (R2) A line passes through two points:…

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Q: 1. Write parametric equations AND a vector equation to describe a line that passes through the…

A: The objective of this question is to find the parametric and vector equations for a line passing…

Q: ector equation for this line is r(t) = (5, -4, 3) + t1, 4, - ½)

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Q: Practia go4 (a) Determine the vector and parametric equations of the line (L1) passing through…

A: (a) The line L1 passes through the points A=(-3,2,8) and B=(4,3,9). The line passes through through…

Q: The plane with equation 11x+2y-3z-6=0 intersects the y- and z- axes at the points A and B…

A: The point at which the plane intercept an axis will have other 2 axes as 0. Therefore, the…

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: Answer the questions in detalied steps and show work. (5 and 6)

A: Step 1: q5)  This is a 3 dimensional line.  A line has x intercept 8. So, (8,0,0) is a point on the…

Q: ines in 2d: Determine the parametric, vector and scalar equations for line passing through (-2,11)…

A: Given :            to find parametric equations through a point (-2,11) and (6,1)…

Q: r1 : A = (3,2,4) m = i + j + k r2 : A = (2,3,1) B = (4,4,1) (a) Create Vector and Parametric…

A: r1: A=(3,2,4) and m→=i^+j^+k^ r2: A=(2,3,1) and B=(4,4,1) Vector form of a line which passes through…

Q: Practia go4 (a) Determine the vector and parametric equations of the line (L1) passing through…

A: a) the line L1 passes through the pointsA=(-3,2,8) and B(4,3,9)This line passes through A =…

Q: The vector equation of the plane containing the point (lo, Jo, normal vector is given by is the…

A: The plane containing the point (x0,y0,z0) and with normal vector  <a, b, c>  Let (x,y,z) be…

Q: For each of the following, write down a vector equation of the line 1 and convert it to Cartesian…

A: Write down the vector equation of the line l and convert it to Cartesian form: (a) A line l passes…

Q: t – 5 Find the point on the line p(t) = t+2 that is closest to (1,2,1). 2t – 1

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Q: equatic

A: Given :-  The points A and B have coordinates  1 ,-1 ,2  and  3 , 1 ,1 respectively. A vector…

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

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Q: Symmetric equations of a line with direction vector d = (5, 3, -4) and z-intercept of 7.

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