Is the line passing through the point (3/2, 1) and slope −2 a hyperplane ? If yes, identify this hyperplane with its (normal vector, scalar) and indicate the positive and negative halfspaces associated with it. If not, argue why not.

Q: Write the vector equation for the line of intersection between the planes π1:x−z=−5 and π2:x−y=−1.

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Q: x +1 L1: 2 у — 2 y 1 у — 2 z-1 x +1 L2: 1 y – 2 -1 2 3.

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Q: The parametric vector v=(6-t)i+(9t+8)j represents a straight line. Find the equation of this line

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Q: Find the vector and parametric equations of the line through the points A = (2,4,7) and B =…

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Q: Find a vector in component form that is perpendicular to the line 3x 4y = 6.

A: To find the vector in component form that is perpendicular to the given line.

Q: P= (2,-2), Q = (4,0) ∙8-8 t X =

A: Vector equation of a line passing through two points with position vectors P(2,-2) and Q(4,0)…

Q: Write a vector equation for the line segment from (-3, 0, 0) to (0, 4, 3).

A: To write a vector equation for the line segment from -3, 0, 0 to 0, 4, 3. To write a vector equation…

Q: In R3, derive the equation of a line in vectorial, parametric and canonical form.

A: Parametric equations of a line in R3 :Parametric equations of the line can be written as…

Q: Find the vector equation of the plane taking into account that 4x - y - z = 3

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