D1.8. Transform each of the following vectors to spherical coordinates at the point specified: (a) 5a, at B(r = 4,0 = 25°, = 120°); (b) 5a, at A(x (c) 4a, – 2a, – 4a, at P(x = -2, y = - 3, z = 4). = 2, y = 3, z = - I};

Q: For a vector field A(x,y,z) = 2x ✩, calculate the divergence at: i) x = 1 ii) x= -1 For a vector…

A:

Q: Let a = (7,7,9) and b = (8, 7, 9) be vectors. (A) Find the scalar projection of b onto a. Scalar…

A:

Q: 1. A Cartesian vector can be thought of as representing magnitudes along the x, y and z-axes…

A:

Q: Determine the initial point of the vector whose terminal point is (3, -2, 2) 2. Find the…

A:

Q: S.P. 2-E V(r)=-=-â,at at all points in space. Find the expression A vector field V has a value V(r)…

A:

Rectangular Coordinate System

In a rectangular coordinate system, each point based on the pair of coordinates is specified uniquely in the plane. From two fixed perpendicular lines, these coordinates are at a distance in the rectangular coordinate system. Each line is known as the reference axis and axes as plural. The point where they meet is called the origin (0,0).