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

1. a.) determine vector and parametric equations for the line through 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 for the line.

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

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

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

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

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

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

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milcah answered 1 year ago

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