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1. a.) determine vector and parametric equations for the line through the point A(2, 5) with...

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Basic Math

1. a.) determine vector and parametric equations for the linethrough the point A(2, 5) with direction vector = (1,−3).   

b.)Determine a vector equation for the line through the points(-1, 4) and (2, -1).

c.) Determine parametric equations for the line through (-2,3) and parallel to the line with vector equation = (−2, 1)+ t(6, 4).

d .) A line passes through the point (-4, 1)and is perpendicular to the line with parametric equations x =-2 -3t, y = 1 + 2t. Find vector and parametric equations forthe line.

e.) Find vector and parametric equations for the line withequation 2x + y + 3 = 0.

f.) Determine a scalar equation for the line thatpasses through the point (-1, 5) and has direction vector= (1, −3).

g.) Determine parametric equations for the line with scalarequation 4x – y + 5 = 0.

h.) Determine a scalar equation for the line with vectorequation = (−3, 1) + t(2, 5).

i.) A line passes through the point (1, -4) and isperpendicular to the line 3x + 2y – 6 = 0. Determine ascalar equation for the line.

j.) Use a vector solution to show that a scalar equation for theline through the points P1(x1,y1) and P2(x2,y2) is

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