Tankertert said:Homework Statement
v = (-4, -2) and need to find alll vectors of magnitude 4 that are perpindicular to v
Homework Equations
The Attempt at a Solution
I tried
let (x, y) be the vector of interest.
-4x -2y = 0
x^2 + y^2 = 16.
Is this the right track? If so, how do i solve from here?
The magnitude of perpendicular vectors is the length of the vector measured from its origin to its endpoint. It is represented by a positive number and is calculated using the Pythagorean theorem.
The magnitude of perpendicular vectors can be calculated using the Pythagorean theorem, which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. In the case of perpendicular vectors, the hypotenuse is the magnitude and the other two sides are the components of the vector.
The magnitude of perpendicular vectors is important because it represents the size or strength of the vector. It is also used in various mathematical and scientific calculations, such as finding the distance between two points or determining the force of a vector.
The magnitude of perpendicular vectors is represented by a positive number, usually denoted by the symbol ||v||, where v is the vector. It can also be represented graphically by the length of an arrow drawn to scale, with the direction of the arrow indicating the direction of the vector.
No, the magnitude of perpendicular vectors cannot be negative as it represents a length or size. Negative numbers are used to represent direction or orientation, but the magnitude is always a positive value.