Consider the vectors V0 X 2 and a general vector x = Y 4 -0...

 

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Consider the vectors V₁0 X 2 and a general vector x = Y 4 " -0 V2 = 2 -4 a. Write an equation in terms of x, y, and z that describes all the vectors x orthogonal to v₁. b. Write a linear system that describes all the vectors x orthogonal to both v₁ and v2. c. Write the solution set to this linear system in parametric form. What type of geometric object does this solution set represent? Indicate with a rough sketch why this makes sense. d. Give a parametric description of all vectors orthogonal to v₁. What type of geometric object does this represent? Indicate with a rough sketch why this makes sense. Consider the vectors V₁0 X 2 and a general vector x = Y 4 " -0 V2 = 2 -4 a. Write an equation in terms of x, y, and z that describes all the vectors x orthogonal to v₁. b. Write a linear system that describes all the vectors x orthogonal to both v₁ and v2. c. Write the solution set to this linear system in parametric form. What type of geometric object does this solution set represent? Indicate with a rough sketch why this makes sense. d. Give a parametric description of all vectors orthogonal to v₁. What type of geometric object does this represent? Indicate with a rough sketch why this makes sense.