Hello can I have some help here please , can you write on a sheet of paper and upload it please. Reference : David C. Lay, Steven R. Lay, Judi J. McDonald - Linear Algebra and Its Applications-Pearson (2015).pdfSection 6.1 : 1,3,5,7,8,9,11,13,14,15,16,17,18

6.1 EXERCISES Compute the quantities in Exercises 1-8 using the vectors 14. Find the distance between u = and z = 00 - X w Determine which pairs of vectors in Exercises 15-18 are orthog- X . W 1. u.u, v.u, and V . u 2. w . W, x . w, and onal. u .u W . W 12 N 1 1 3. 4. u 15. a = 16. u = W w w W. W u.u u . V X . W 5. 6. X V . V -4 7. Iwll 8. 1/x1| -8 DUNW 17. u= 18. y = , Z= A N 15 In Exercises 9-12, find a unit vector in the direction of the given 6 vector. In Exercises 19 and 20, all vectors are in R" . Mark each statement 9. -30 10. True or False. Justify each answer. 40 19. a. v.v = llv/12. 7/4 b. For any scalar c, u. (cv) = c(u.v). 11. 1/2 12. [8/3 c. If the distance from u to v equals the distance from u to -v, then u and v are orthogonal. 13. Find the distance between x - -3 andy = [=} ] d. For a square matrix A, vectors in Col A are orthogonal to vectors in Nul A