All you have to do is add the numbers and determine how much the numbers change. In your case, the new coordinates are (0, -1), (4, -2), (2, -6).
To describe a translation of triangle ABC, you would need to include the direction of the translation (horizontal, vertical, or diagonal), the distance of the translation, and whether the triangle was moved to the left, right, up, or down. Additionally, you would need to specify if the translation was a rigid transformation, meaning the size and shape of the triangle remain unchanged. Finally, you may also need to mention the coordinates of the vertices of the original triangle and the new positions after the translation.
When a pre-image undergoes a translation, each coordinate of the pre-image is adjusted by adding a fixed value, known as the translation vector. This means that every point of the pre-image moves the same distance and direction, resulting in a new set of coordinates for the image. The relative positions of the points remain unchanged, preserving the shape and size of the figure. For example, if a point (x, y) is translated by (a, b), its new coordinates will be (x + a, y + b).
true
The Cartesian coordinates of the vector represented by the keyword "r vector" are the x, y, and z components of the vector in a three-dimensional coordinate system.
To find the location of the resultant, you can use the parallelogram rule or the triangle rule of vector addition. Locate the endpoints of the vectors you are adding, draw the resultant vector connecting the initial point of the first vector to the terminal point of the last vector, and then find the coordinates of the endpoint of the resultant vector.
It depends on the vector!
When drawing a vector using the triangle method you will draw in the resultant vector using Pythagorean theorem. This is taught in physics.
no because triangle only contain three vectors and if many vector are added then they cant form a triangle
the radius vector; and the vectorial angle the radius vector; and the vectorial angle
The "vector triangle" illustrates the "dot product" of two vectors, represented as sides of a triangle and the enclosed angle. This can be calculated using the law of cosines. (see link)
In polar coordinates, the curl of a vector field represents how much the field is rotating around a point. The relationship between the curl and the representation in polar coordinates is that the curl can be calculated using the polar coordinate system to determine the rotational behavior of the vector field.
In cylindrical coordinates, the position vector is represented as (r, , z), where r is the distance from the origin, is the angle in the xy-plane, and z is the height along the z-axis.