This is the required solution.
(1 point) Let c=1 ). 6 = [-), = [E]. * = [1] Is ū a linear combination of the vectors ū1, ū2 and ū3 ? choose If possible, write ū as a linear combination of the vectors ū1, 72 and 73. For example, the answer ū = 4ū1 + 5ū2 + 6Ū3 would be entered 4v1 + 5v2 + 6v3. If ū cannot be written as a linear combination of the vectors ū1, 72 and 73, enter DNE. ū...
1 point) -3 Let A-3 4 14 and b- 12 -12 1 1 -4 -57 -24 Select Answer1. Determine if b is a linear combination of Ai, A2 and A3, the columns of the matrix A. If it is a linear combination, determine a non-trivial linear relation. (A non-trivial relation is three numbers that are not all three zero.) Otherwise, enter O's for the coefficients Ai+ A2t A, b. 1 point) Determine if the given subset of R3 is a...
5 3 1 Let ū = < 2,-3> V = <-2,0 > w = <3,3 > Graph vectors ū, ū, and w in standard position with corresponding terminal points, A, B, and C, respectively. (72 point) What is the length of the altitude of AABC from vertex A? (72 point) -5 -3 -1 -1 0 1 3 5 -3 -5
(1 point) 0 Given v 3 find the linear combination for v in the subspace W spanned by 0 0 3 3 and 114 , u2 = , из- 4 4 Note that ul , u2 , u3 and 14 are orthogonal. u1+ 7 U2 ll4 (1 point) 0 Given v 3 find the linear combination for v in the subspace W spanned by 0 0 3 3 and 114 , u2 = , из- 4 4 Note that ul...
(1 point) Let {uj, u2, u2 ) be an orthonormal basis for an inner product space V. Suppose y = qui + buz + cuz is so that|lvl1 = V116. (v, uz) = 10, and (v. uz) = 4. Find the possible values for a, b, and c. a = CE (1 point) Suppose U1, U2, Uz is an orthogonal set of vectors in Rº. Let w be a vector in Span(v1, 02, 03) such that UjUi = 42, 02.02...
(1 point) Let u4 be a linear combination of {u1, U2, u3}. Select the best statement. OA. {u1, U2, U3, U4} could be a linearly dependent or linearly dependent set of vectors depending on the vector space chosen. OB. {ui, U2, U3, U4} is always a linearly dependent set of vectors. OC. {ui, U2, U3, U4} could be a linearly dependent or linearly dependent set of vectors depending on the vectors chosen. OD. {u1, U2, U3, U4} is a linearly...
please anyone answer all the questions as soon please 2 4 3 3 4 1. Given three points A = (0,–8, 10), B = (2, -5, 11), C = (-4,-9, 7) in R3. (a) Show that these three points are not collinear (not in a straight line). (b) Find the area of the triangle ABC. (c) Find the scalar equation of the plane containing the points A, B and C. (d) Find a point D on the plane such that...
(1 point) Let B= [ 5 17 -5 -3 , | 4 11 If possible, compute the following. If an answer does not exist, enter DNE. CB - A= help (matrices) CA help (matrices)
0 (1 point) Let uz = 4. → U12 = ,113 = 4 Which of the following are in the span of u1, 12, uz? 6 A. 8 4 :-2 B. 8 1 C. Write the following vector as a linear combination of u1, U2, U3. If it is not possible, leave each entry empty. + () + [:1-03 3
-4 -2 -5 (1 point) Find the orthogonal projection of ū onto the subspace W spanned by -26 11 -35 -3 -3 2 3 -219 -806 projw(Ū) = -17 -950