Problem 4: Find all the points whose coordinate vector is at an angle of to the...
Please help with 3, 4, and 5. Really need help with all 3 problems please. Page 2 of 5 Name 3. (8 points) Find the position of n moving particle whose acceleration at time I is given bw the vector function a(t) = -costi - & sin(21) j. the initial position is given by the vector r(0) = li. and the initial velocity is given by the vector v(0) -i + 4j+k 1. (6 points) Describe the graph of the...
Problem 2. (1 point) Find a unit vector with positive first coordinate that is orthogonal to the plane through the points P = (1, 2, 4), Q = (2,3,5), and R = (2,3,6). Note: You can earn partial credit on this problem.
Problem: Given a rotation R of R3 about an arbitrary axis through a given angle find the matrix which represents R with respect to standard coordinates. Here are the details: The axis of rotation is the line L, spanned and oriented by the vector v (1,一1,-1) . Now rotate R3 about L through the angle t = 4 π according to the Right 3 Hand Rule Solution strategy: If we choose a right handed ordered ONB B- (a, b,r) for...
ote: The norm of is denoted by |vand is calculated N a vector u Consider a subspace W of R4, W span(1, v2, v3, v4)). Where 0 из- 1. Find an orthonormal basis Qw of W and find the dimension of W 2. Find an orthonormal basis QWL of WL and find the dimension of WL 3. GIven a vector u- . find the Qw coordinate of Projw(v) . find the Qwa coordinate of Projwi (v) » find the coordinate...
Problem #11 : Let p-7x2 + 5x + 4 Find the coordinate vector of p relative to the following basis for P2, pi 1,P2 = 1+x, p3 = 1 +x+x2. =
In this problem, let li be the line that passes through the points A(1,2, 4) and B(-1,3,8), and let l2 be the line with symmetric equations x +1 = 2y = 32 — 3. Parts (e) and (f) relate to the vector field F = (xy, xz, yz). (a) Show that the lines li and l2 intersect. (b) Let P be the plane that contains both lines li and lz. Find an equation for P. (c) Show that the points...
Problem 2 (16 points) Consider the town was ------ - 0 1. Pla de Il for K, that is compond with vectors in K. 2. What is the son of the vector pe V-pank) in the coordinate vector in of - [ ] Page Problem 2 (16 points) Consider the set of vector K - {01, 02, 03, va) R', as follows 12 ETC and A --- 1. Find a basis B for K, that is composed with vectors in...
#3 bullet 3 & #4 is denoted by llell and is calculated Note: The norm of a vector Consider a subspace W of R', W- span(v) Where 9-0-0 1. Find an basis Qw of W and find the dimension of W 2. Find an orthonormal basis Qwa of W and find the dimension of W 3, Given a vector u = find the w coordinate of Projw( find the Qw coordinate of Projw() find the coordinate of v in the...
manitudle of a Vector 5. Reter to Problem 4. Find the following B, e) the scalar product f)內, g) 3 * a) the scalar product b) the magnitude of A, x c) the magnitude of d) the angle between A and B, h) the angle between亡and T 4. Graph the following vectors on the same coordinate system (three dimensions) = -51 + 4)-6k 4. Given the vectors: 궂. 4个.价. Find the following a) A +
The initial and terminal points of a vector are given. Write the vector as a linear combination of the standard unit vectors i ands Initial Point Terminal Point (-1,2) (5,-4) X Need Help? Read it Find the component form of v, where u = 21 - 3 |(2, - 1) Sketch the vector operation geometrically, y 5 NIN 5 - 5 5 NI . s | sin Find the magnitude and direction angle of the vector v. v = 7(cos...