Can you help me with these questions please,Thank you! Question 2(a)Consider the flat F1 C R4 described by the system of equations3.x1 – x4 = 2andXị + x2 – x4 = 1and let H1 C R² be the hyperplane that contains F1 and is parallel to the vectorE R4.w =Also consider the hyperplane H2 C Rª that passes through the point (2, 5, 6, 3) e Rª and hasw as a normal vector.(i) Find a vector parametric equation for F1.(ii) Find a Cartesian description for H1.(iii) Find a vector parametric equation for the flat of intersection of H1 and H2.

Name: Can you help me with these questions please,Thank you! Question 2(a)Co
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Description: Can you help me with these questions please,Thank you! Question 2(a)Consider the flat F1 C R4 described by the system of equations3.x1 – x4 = 2andXị + x2 – x4 = 1and let H1 C R² be the hyperplane that contains F1 and is parallel to the vectorE R4.w =

Solution of (i) Flat F1⊂ℝ4 describe by the system of equations 3x1-x4=2 and x1+x2-x4=1. To find the…

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(a) Consider the flat Fj C Rª described by the system of equations 3.x1 – x4 = 2 and Xi + x2 – x4 = 1 and let H1 C Rª be the hyperplane that contains F1 and is parallel to the vector E R4. w = Also consider the hyperplane H2 C R4 that passes through the point (2, 5, 6, 3) E Rª and has w as a normal vector. (i) Find a vector parametric equation for F1. (ii) Find a Cartesian description for H1. (iii) Find a vector parametric equation for the flat of intersection of H1 and H2.