The magnitude of a vector is the length or size of the vector, which is represented by a number. In the case of vector CD, the magnitude refers to the distance from the starting point (C) to the endpoint (D) of the vector. It is denoted by ||CD|| or |CD|.
The magnitude of vector CD can be calculated using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides. In this case, the magnitude of vector CD equals the square root of the sum of the squares of the horizontal and vertical components of the vector.
No, the magnitude of a vector is always a positive number. It represents the absolute value or distance of the vector and does not take into account its direction. However, the vector itself can be negative if it is pointing in the opposite direction.
The units of measurement for the magnitude of vector CD will depend on the units used for the coordinates or components of the vector. For example, if the coordinates are given in meters, the magnitude will also be in meters. It is important to include the units when stating the magnitude of a vector to provide context and clarity.
Yes, the magnitude of a vector is dependent on the coordinates or components of the vector. If the coordinates are changed, the magnitude will also change. However, the direction of the vector will remain the same as long as the angle between the vector and the positive x-axis remains constant.