Problem #7: Which of the following statements are always true for vectors in R3? (i) If u (vx w)-...
Please answer part a and b :) Which of the following vector fields are conservative? (i) F(x, y) = (9y8 +3) i + (8x8y' +7) j (ii) F(x,y) = (8ye8x + cos 3ji + (e8x + 3x sin 3jj (iii) F(x,y)-7y2e7xyİ + (7 +xy) e7xyj (A) all of them (B) (iii) only (C) (i) and (ii) only (D) (i) and (iii) only (E) none of them (F) (ii) and (iii) only (G) (ii) only (H) (i) only st Save Submit...
Problem #11: Let v1 = (-1,2,-1) and v2 = (-2,-1,-2). Which of the following vectors are in span{V1, V2}? (i) (-3,1,-2) (ii) (-5,0,-4) (iii) (-8, 1,-7) (A) none of them (B) (i) and (ii) only (C) (i) only (D) (iii) only (E) (ii) only (F) all of them (G) (i) and (iii) only (H) (ii) and (iii) only Problem #11: Select Just Save Submit Problem #11 for Grading Attempt #1 Attempt #2 Attempt #3 Problem #11 Your Answer: Your Mark:
Problem #6: Let u = (i, 21,6), v = (5,-21, 1+i), w = (2-i, 21, 8 + 6i). Compute (u: v) wu Express your answer in the form a + bi and enter the values a and b (in that order) into the answer box below, separated with a comma. Problem #6: -35,27 Values of a and b, separated with a comma. Just Save Submit Problem #6 for Grading Problem #6 Attempt #3 Your Answer: Attempt #1 13,27 0/2x Attempt...
7. The set {u, v, w} is an orthogonal set of vectors, where u= (0,3,4), v = (1,0,0) and w = (0,4, -3). If (0,-1,-1) = au + bu + cw, then (a, b, c) = mark (x) the correct answer: A (-3,0,-) B (-2, 0, - 2) C (7,0, ) D(-2,0, 35) E (-7,0, -1) F (0,-1, -1)
For problem #1 I used the formula FV=PV(I+i)^n where I solved for n to get 8.2097. Im unsure of how to solve question #2. Help ASAP would be very appreciated. Thank you. Problem #1: How many years does it take for a deposit of $1000 to reach $3150 with an annual effective interest rate of 15%? Problem #1: 8.2097 Answer correct to 4 decimals Just Save Your work has been saved! (Back to Admin Page) Submit Problem #1 for Grading...
Problem #5: (a) Let u =(2, -4,-8, -10) and v=(-1, -3, 8, -10). Find ||u – proj,u||. Note: You can partially check your work by first calculating projyu, and then verifying that the vectors projyu and u-proj,u are orthogonal. (b) Consider the following vectors u, v, w, and z (which you can copy and paste directly into Matlab). v = (-8.1 4.2 6.3], w = [-9 -3.7 5.5], u z = = [-8.6 -3.4 -7.1], [-3.2 2 -4.9] Find the...
Problem 1. The figure below shows the vectors u, v, and w, along with the images T(u) and T(v) to the right. Copy this figure, and draw onto it the image T(w) as accurately as possible. (Hint: First try writing w as a linear combination of u and v.) TV (u) Problem 2. Let u = | and v Suppose T : R2 + R2 is a linear transformation with 6 1 3) Tu = T(u) = -3 and T(v)...
Hi, could you post solutions to the following questions. Thanks. 2. (a) Let V be a vector space on R. Give the definition of a subspace W of V 2% (b) For each of the following subsets of IR3 state whether they are subepaces of R3 or not by clearly explaining your answer. 2% 2% (c) Consider the map F : R2 → R3 defined by for any z = (zi,Z2) E R2. 3% 3% 3% 3% i. Show that...
2. Let v= [6, 1, 2], w = [5,0, 3), and P= (9, -7,31). (i) Find a vector u orthogonal to both v and w. (ii) Let L be the line in R3 that passes through the point P and is perpendicular to both of the vectors v and w. Find an equation for the line L in vector form. (iii) Find parametric equations for the line L.
3. Consider the following system of linear equations: 2x + 2y + 2kz = 2 kx + ky+z=1 2x + 3y + 7z = 4 (i) Turn the system into row echelon form. (ii) Determine which values of k give (i) a unique solution (ii) infinitely many solutions and (iii) no solutions. Show your working. 2. Let v= [6, 1, 2], w = [5,0, 3), and P= (9, -7,31). (i) Find a vector u orthogonal to both v and w....