1) Show graphically that for a vector. V, of length 3 cm pointed to the right,...
(1) Let u = (-1,2) and v = (3, 1). (a) (5] Find graphically the vector w = (2u - v). (b) (5] Find algebraically the vector z=3u - 2 (2) (a) [5] Write u ='(1, -5, -1) as a linear combination of v1 = (1,2,0), v2 = (0,1,-1), V3 = (2,1,1). (b) (5] Are the 4 vectors u, V1, V2, V3 linearly independent? Explain your answer. (C) (5) Are the 2 vectors V, V3 linearly independent? Explain your answer....
1. let V be a vector space and T an operator on V (i.e., a linear map T: V--> V). Suppose that T^2 - 5T +6I = 0, where I is the identity operator and 0 stands for the zero operator ... Read Section 3.E and 3.F V) 1. Let V be a vector space and T an operator on V (i.e., a linear map T: V -» Suppose that T2 - 5T + 61 = 0, where I is...
1. Gauß theorem / Divergence Theorenm Given the surface S(V) with surface normal vector i of the volume V. Then, we define the surface integral fs(v) F , df = fs(v) F-ndf over a vector field F. S(V) a) Evaluate the surface integral for the vector field ()ze, - yez+yz es over a cube bounded by x = 0,x = 1, y = 0, y = 1, z 0, z = 1 . Then use Gauß theorem and verify it....
1- 2- 3- 1 (10 points) Show that {u1, U2, U3} is an orthogonal basis for R3. Then express x as a linear 3 4 combination of the u's. u -3 U2 = 0 ,u3 5 6 -2 2 -1 (10 points) Suppose a vector y is orthogonal to vectors u and v. Prove that y is orthogonal to the vector 4u - 3v. 10. (2 points each) True or False: ( ) Eigenvalues must be nonzero scalars. ( )...
Vector A has a length of 3 cm and points 37 degrees west of north. Vector B has a length of 7 cm and points 27 degrees east of north. What is nothern component of A+B and A-B?
If T is a kinetic energy, p is the length of a momentum vector and v is the length of a velocity vector of a particle with mass m show that:
Question 17 Find the vector v with length 3 and the same direction as the vector u =(-1,6,5). •-( tas var - to vote --( tez le ton) Question 18 Find the angle in radians between the vectors u = (0,6, 0,6) and v- (3,5,6,3). Round your answers to three decimal places 1.224 radians 1.003 radians 0.297 radians 0.995 radians 0.881 radians
1.) Provide an approximate graph of the voltage at the green-brown marker point when -3 V to 3 V is applied to V1 2.) Using the PSPICE show the DC Sweep graph from -3V to 3V and display the result of the 1st round on the graph. 3.) 1,2 Compare the results and discuss the behavior D1 D break A 1 v1 15 ovdc 1v W 1.) Provide an approximate graph of the voltage at the green-brown marker point when...
1 - 1 - 1 2. A vector v has components vx = 1, v, = 2, v, = -5. A vector w has components w, = 3,w,, = -1, W, = 1. Evaluate: (a) (v · w) (b) [v Xw] (c) The length of v (d) (8x V) (e) [8, Xw] (f) Qvw (g) [rx v], where r is the position vector.
Combinations of Recursion there is a vector<vector<string> > v = v[0] = { Blue} v[1] = { Pig, Dog } v[2] = { jump } v[3] = { low, high} ________________________________ the cout result will be like (a sentence must have v[1] and v[2], but v[0] and v[3] is not required in the sentence) Pig jump Pig jump low Pig jump high Dog jump Dog jump low Dog jump high Blue Pig jump Blue Pig jump low Blue Pig jump...