Given the two points, C(-3, 2, 1) and D(r = 5,0 = 20°, o = -70°), find: (a) the spherical coordinates of C; (b) the cartesian coordinates of D; (c) the distance from C to D.

Q: 3. Find the component form of v given its magnitude and angle e with the positive x-axis: V = 8, e =…

A: Given, |V|= 8, θ= 150° We have to find component form of v Where V = V1 i + V2 j = < V1 , V2 >

Q: +d. A e. f. the angle between vectors PQ and PR the area of the triangle with vertices at P, Q, and…

A:

Q: we have the equation φ=c, convert this to rectangular coordinates, and then convert to cylindircal…

A:

Q: The angle between u = 3i -j-k and v = -7i – 2j + 4k is

A: u=3i-j-k and v=-7i-2j+4k The formula for angle formed between two angle is, cosθ=a·ba·b

Q: Find a · b if |a| = 14, |b| = 9, and the angle between a and b is 7/2.

A:

Q: 1. Find the Cartesian coordinates a. 1 2 I b. -√2₁. 2 3 π

A:

Q: Use trigonometry to find the x and y components of this vector: R=47.6 ft at 32.0° E of S. Rx = Ry =

A:

Q: (c) Consider the parallelepiped with sides: u=(5,-2,1), v=(3, 2, 4), and w=(-6,1,1). V

A: Angle between two vector V and W found using cosine function

Q: (A) Find the magnitude and the angle with x-axes of the following: -B - 5Ã , where Ā = -2i + 3j – k…

A:

Q: What is the angle between A and B, if A = 3.0 i +5.0j and B = -3.0 i +7.0 j. Equation: A.B=AB cos 0

A:

Q: www. 1 _ 5c = < KIN hond kis Qa G Find the components of the vector -5c based on the vector shown.

A: Given that a graph of the vector. Find the components of the vector -5c based on the vector shown.

Q: 6) (5, 180°); convert to rectangular coordinates and which quadrant it is in.

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.