vector equation [′vek·tər i‚kwā·zhən] (mathematics) An equation involving vectors. McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc. Want to thank TFD for its existence?Tell a friend about us, add a link to th...
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Answer to: Identify the surface with the given vector equation. 1. r(u, v) = (u + v)i + (3 - v)j + (1 + 4u + 5v)k 2. r(u, v) = (2sin u)i + (3cos...
Make a contour plot of the function E[ϕ,θ]. (HINT: See the main text, Section 24.4.) EXPLORATION 46.9. Mathematical and Physical Experiments Modify the Flow2D program to build a flow solution of the pendulum equations. We suggest that you use initial conditions (L = 9.8 meter, g =...
Let us consider a three-dimensional shear flow V(z)e1, where e1 is the unit vector in the x direction, and where z1 < z < z2, with z1∈ ℝ or z1 = -∞ and z2∈ ℝ or Z2 = +∞. The linearized Euler equations (4)–(6) on a perturbation (u1,u2,u3) of V(z)e1 ...
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3, 4, and 5, using the chiral representation of gamma-matrices, which is sufficient for our purpose. Proofs of the statements in Sect. 2 can be found in [8, 9]. 2 The Dirac equation as a fourth-order linear equation for one component To make this article reasonably self-contained, ...
Answer to: Find the vector equation for the line of intersection of the planes x+4y-4z=-5 \enspace and \enspace x+5z=-2 By signing up, you'll get...
This means that they change instantaneously their velocities, according to the following rule: (3.2)υ′i=υi-nn⋅(υi-υj),υ′j=υj+nn⋅(υi-υj), where n is the unit vector directed along xj - xi and υ′i and υ′j are the outgoing velocities after the collision; see ...
And if the unit vector along the axis of the cylinder is set to l and its projections along three axes respectively are lx,ly,lz we have (1-219)l=ilx+jly+klz From the angles ϕ and ψ shown in Figure 1-30, we have (1-220)lx=sinϕcosψly=sinϕsinψlz=cosψ But from ve...