9 - 2 1 You are given two column vectors ū= and = taken from R4 . If 5 а 3 the column vectors ŭ and ū are orthogonal to each other, then what is the value of a ? o The value of a is equal to -8 o The value of a is equal to -4 o The value of a is equal to 2 . o None of the choices given within this question o The value...
(10 points) Are the vectors ū linearly dependent [25 1], ū = [-5 -5 o] and ū = [-5 -3 2] linearly independent? If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. ũ+ ö+ ū = 0.
Problem 2 (12 points, 6 for each part) (a) I'm thinking of two vectors ū and ū in R2 such that the standard unit vectors ē; can be expressed as ēj = i + 3ū and ēz = i + 50. Explain, preferably without computing my vectors ū and v, why they span R2. (b) Compute the ū and from part (a).
6. Displacement vectors 7 , ū, V, and ū are given below. In the appropriate diagram, draw (a) the projection of 7 onto ū (b) the projection of ū onto ū (c) the projection of ū onto ū. ū ū ū 2 f V w
1. We are given the following vectors: ū = (x,0,4), ū = (2,1,1) a) What does the value of x need to be so that the vectors ū and ū are perpendicular? Explain your reasoning. (5 pts.) b) Calculate the cross product p = ū xū and find the magnitude of p. (5 pts.) c) Calculate the cross product q = ū xū and find the magnitude of q: (5 pts.) d) Compare the magnitude of p with the magnitude...
Please help solve this while providing a detailed solution = Given vectors ū = (-9, -1, -6]T, ū [10, 2, 7]T E R3. Determine whether the vector [7,-1,4]T is in span{ū, v}. If the vector is in the span then express it as a linear combination of ū, ū. 7 - .
It is given that the vectors ū = [11,0, 6] and ✓ = (-2,0,–27) lie in a linear subspace W of R'. It follows that, also ū = 29, 0, -36) lies in W. This can be seen by writing was a linear combination of ū and V. Determine the numbers x and y so û = x ·ū+y. V. Give your answer in the form x = a 1y=b for two numbers a and b.
Soru 23 Hendz cevaplarmade 1,00 Gerinden işaretlenmis Soruyu işaretle Consider the function f(x) = e-+" and its integral g(x) = { $(a)dx. What is the first 3 non-zero terms of MacLaurin series of g(x)? Lütfen birini seçin: OI- + 10 01 - + 01 – ² + 2 / 2
5. Let ū and w be vectors in R3. Prove that (ö - w) x (v + 2) = 2(vx w).
The uniform log of mass m = 73 kg is supported by two cables. The log is released from rest in the position shown below. Determine the initial angular acceleration, Ö, of the cables if 8 = 52°. Dimensions: 1AB = 2,4 m; lc = 1,3 m; lc = 1,8 m le lo B LAB Ів Lütfen birini seçin: O a. 4,36 rad/s^2 Ob. 2,35 rad/s^2 O c. 3,36 rad/s^2 O d. 5,37 rad/s^2 Oe. 6,71 rad/s^2