solve exercies 9with explanation asap Exercise 8. Let u = (1, 2). Find a nonzero vector v e R² perpendicular to u. Show how to expressany vector (r, y) e R² as a linear combination of u and v. Illustrate by plotting u, v and (r, y) in theplane and indicate what the coefficients are measuring. Use some specific examples and moderatelyaccurate pictures to verify.Exercise 9. Let u = (1, 2) and v = (2, 1). Find a nonzero linear combination i of u and v that'sperpendicular to u. Draw a picture to illustrate what the coefficients are measuring. (Hint: youmay as well take the linear combination ī to be of the form Au + v ; why is that? Then how wouldyou find A?)Exercise 10. Write down the system of two linear equations in two unknowns to express (3, 5)as a linear combination of u = (1,2) and v = (2,1). Then solve that system and check that yoursolution solves the problem. Draw a picture to illustrate the solution.

This is a problem of vector space, vector algebra.

Exercise 9. Let u = (1,2) and v = (2, 1). Find a nonzero linear combination ī of u and v that's %3D perpendicular to u. Draw a picture to illustrate what the coefficients are measuring. (Hint: you may as well take the linear combination i to be of the form Au + v ; why is that? Then how would you find A?)