two complex numbers z1 = 7.9 + i 21.1 and 22 = 14.4 - i 32.2 Find the the magnitude of the z where z= z1 + 22, 962.6 57.8 O 355.9 24.9

Q: 7). A particle is moving in three dimensions. Its position vector r is given by r[t] = -4 i + (6- 7…

A: The velocity vector is produced by taking the derivative of position vector and acceleration vector…

Q: 4. Express the position vector r = xa, + ya, + za, in the spherical co-ordinate system. 5. (a)…

A:

Q: Eustass, Luffy, and Law were having a casual drink together, when Luffy eagerly asks Eustass to show…

A: Let O be the center of 23-gon, A be position initial position of coin 1. B be initial position of…

Q: 69. For the following vectors Ả = 5ì – 7ỷ + 2: B = oi + 33 + 112 -9î + 43 – 9£ Ď = li+0j – 3

A: (a) A→×B→.D→ The cross product of two vectors A and B is     i^               j^           k^   5…

Q: Convert these complex numbers to polar form and check yo such as Mathematica. (If using Mathematica,…

A: A complex number can be converted from rectangular to polar form and vice versa as:

Q: 5. Let W R³ be the intersection of the two planes: 2x + y − z = 0 and 3x - y + 2 = 0. Find the…

A:

Q: The ship O measures the positions of the ship A and the airplane B and obtains the coordinates…

A: Angle between the two vectors is given by the formula

Q: Evaluate the double integral 3 + 2х + Зу dх dy : y=0 Jx=0 Select one: O 22/3 о 13/3 O 35/2 O 12

A:

Q: An infinite solid conducting cylinder is placed along z-axis. Find the net force on "north- ern" (y…

A:

Q: 33. In a parallel projection, will a line parallel to the Z axis project as a point, a line, or not…

A: A line parallel to the z-axis has certain fixed values of x and y and a variable value of z.   If a…

Q: What is the equation of the sphere with center (1, –2, 5) and radius 9 ? O (x+1)² + (y – 2)² +…

A: Radius of sphere is 9  and equation of the sphere can be calculated as,

Q: Consider R =À +B+D which of the following is incorrect? O All choices are incorrect O Ř =JTRj? +…

A: The resultant vector is shown as .

Q: Sketch the curve with the given polar equation. r= 4 + sin 8 y y

A: Solution: Given data, r = 4 + sin θ

Q: 2. Consider the spherical coordinate system Z X 0 * (r, 0, 0) 11 I y a) Express x, y and z as…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub parts…

Q: magnitude of ĀxE B

A:

Q: F = = dt d mu dt √1-u²/c² m / T = ²^U2² / 0² {² - a + = m u(u. a) (c²-u²) du dt √1-u²/c² }. qed + u…

A: Here differentiation of product and chain formula of differentiation is used.

Q: 1. Evaluate (r) for the spherical harmonic Y7²? G 15 1/2 Yz² = \32. sen² 0 e-2iø

A: Given: Y2-2=1532π12sin2θe-2iϕ Introduction: The wave function for a 3-D rotational motion involves…

Q: Consider the vectors A = (-8.1,5.4) and B = (10.7,-9.1), such that A - B +2.7C = 0. %3D

A:

Q: The spherical coordinates of a point (x, y, z) are unique. O True O False

A: True, the spherical coordinates are unique

Q: A vector of 6 units makes an angle of 45 degrees with the positive x-axis. His vehicles are X-rays…

A: The components of the vector show the effect of a quantity along a given direction. Any vector can…

Q: For any three vectors, prove that A • (B × C ) = (Ā × B) · T. Also calculate Ā • (Bx C ) for the…

A:

Q: 8+ 7+ 6+ 5 4 3 2+ 1+ ||ū|| = 1 2 = 3 → 4 » 5 6 7 Find the magnitude of u. Enter an exact answer as…

A: A vector is a quantity having direction as well as magnitude.

Q: Find the singular point of the rational function f(z)=z/(z+i) * O z=-i O z=1 O z=i O z=-1 Find f'(z)…

A: i. Fz=zz+i*=zz*-isingular point , z*-i=0z*=iz=-i

Q: Find the lem for this shape. Hollow Sphere M=40 kg R=5 m Rod M=100 kg L=16 m %I 4642.38 kg.m^2 O…

A: The center of the hollow sphere is considered as the origin of the coordinates. The x-coordinate of…

Q: - D1.2. A vector field S is expressed in rectangular coordinates as S = {125/ [(x-1)²+(y-2)² +…

A:

Q: Cartesian to Cylindrical Coordinates.

A:

Q: E = ? at (a) x 2h

A:

Q: a. Use the Cartesian representation L₂ = 1/(x2-17 - 1²/²7) y i ду дх to show that (x + iy)m is an…

A:

Q: How do I determine the angles θx, θy, and θz that the force forms with the coordinate axes.

A: To find the angles θx, θy, and θz that the force makes with the coordinate axes:First, we have to…

Q: 1. Consider the vectors |) = 2|01) + 3i|02) and [x) = 511) + (3 - 4i) |02), where [01) and 2) are…

A: I have written formula for Schwarz inequality and triangular inequality

Q: ) = Solve the IVP: xdy + (y – cos x)dx = 0, y %3D

A:

Q: A = 2x²yî – 5xyz ĵ – 92³R ,then find V x V x Ā. %3D |

A:

Q: 37. Use the scalar triple product to verify that the vectors u = i + 5j - 2k, v = 3i - j, and w = 5i…

A: The given question is based on the basic vector components. To solve the given problem we will…

Q: (A) Draw the following directions vectors in a cubic unit cell. (a) [oīT] (b) [210] (c) [112]

A: Since you have posted multiple questions, we will solve the first one for you. If you want a…

Q: Help

A: Answer               -6i - 6j + 6k Solution