Users questions

What is the XZ-plane?

Joe Ford

What is the XZ-plane?

The xy-plane is the plane that contains the x- and y-axes; the yz-plane contains the y- and z-axes; the xz-plane contains the x- and z-axes. These three coordinate planes divide space into eight parts, called octants. The first octant, in the foreground, is determined by the positive axes.

What is another name for XZ-plane?

The coordinates are often denoted by the letters X, Y, and Z, or x, y, and z. The axes may then be referred to as the X-axis, Y-axis, and Z-axis, respectively. Then the coordinate hyperplanes can be referred to as the XY-plane, YZ-plane, and XZ-plane.

Which point is closest to the YZ plane?

#10

  • The xy-plane: The closest point on the xy-plane has coordinates (3,7,0), and the distance between the two points is.
  • The yz-plane: The closest point on the yz-plane has coordinates (0,7,-5), and the distance between the two points is.
  • The xz-plane:
  • The x-axis:
  • The y-axis:
  • The z-axis:

What is the distance from the point to the XZ plane?

The shortest distance from a point (x1,y1,z1) to the xz-plane is simply the value of y1. Real life scenario: Imagine the xz-plane is the floor of your room (i.e. y=0). You are facing the x-direction.

What is the intersection of this sphere with the YZ plane?

The intersection of this sphere with the yz-plane is the set of points on the sphere whose x-coordinate is 0. Putting x = 0 into the equation, we have 9 + (y – 2)2 + (z – 5)2 = 16, x = 0 or (y – 2)+ (z – 5)2 = 7, x = 0, which represents a circle in the yz-plane with center (0, 2, 5) and radius V7. 14.

How do you find the center and radius of a sphere given an equation?

The general equation of a sphere is: (x – a)² + (y – b)² + (z – c)² = r², where (a, b, c) represents the center of the sphere, r represents the radius, and x, y, and z are the coordinates of the points on the surface of the sphere.

What is equation of cylinder?

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Therefore, the volume of the cylinder is about 3016 cubic centimeters.

What is the equation of ellipsoid?

An ellipsoid is symmetrical about three mutually perpendicular axes that intersect at the centre. If a, b, and c are the principal semiaxes, the general equation of such an ellipsoid is x2/a2 + y2/b2 + z2/c2 = 1.

What is the formula of diameter and radius?

Just remember to divide the diameter by two to get the radius. If you were asked to find the radius instead of the diameter, you would simply divide 7 feet by 2 because the radius is one-half the measure of the diameter. The radius of the circle is 3.5 feet.

What is radial distance?

The radius or radial distance is the Euclidean distance from the origin O to P. The inclination (or polar angle) is the angle between the zenith direction and the line segment OP.

What is the distance between two points calculator?

Length between two points calculator is used in almost all fields of mathematics. For example, the distance between two complex numbers z1=a+ib z 1 = a + i b and z2=c+id z 2 = c + i d in the complex plane is the distance between points (a,b)and(c,d) ( a , b ) and ( c , d ) , i.e.

What is the distance between 5 and 2 units?

7 units

What is the distance between 0 9 and 12?

Answer: The distance between the two given points is 15 units.

What is the distance between 5 5 and 9 2?

So in short, x1=5, y1=5, x2=9, and y2=2. So exact distance between the two points is 5 units.

How is the Pythagorean theorem related to the distance formula?

The Distance Formula itself is actually derived from the Pythagorean Theorem which is a 2 + b 2 = c 2 {a^2} + {b^2} = {c^2} a2+b2=c2 where c is the longest side of a right triangle (also known as the hypotenuse) and a and b are the other shorter sides (known as the legs of a right triangle).

How do you find distance on a graph?

Find the distance along the y-axis. For the example points (3,2) and (7,8), in which (3,2) is Point 1 and (7,8) is Point 2: (y2 – y1) = 8 – 2 = 6. This means that there are six units of distance on the y-axis between these two points. Find the distance along the x-axis.