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I see. I can also use the side p-a and p-b. Thank you.kuruman said:
A vector problem involves finding the distance, direction, or magnitude of a vector in a given situation. It often requires using mathematical equations and geometric principles to solve.
The distance between a point and a line is the shortest distance from the given point to any point on the line. It can be found by using the formula d = |ax + by + c| / √(a^2 + b^2), where (x,y) is the coordinates of the point and ax + by + c = 0 is the equation of the line.
To find the closest point on a line to a given point, you can use the formula (a + λb), where a is a known point on the line, b is the direction vector of the line, and λ is a scalar value that can be found using the dot product of the line's direction vector and a vector from the known point to the given point.
A vector is a mathematical object that represents both magnitude (size) and direction, while a line is a geometric object that extends infinitely in both directions. A vector can be used to represent a line by specifying a direction and a point on the line, but they are not the same thing.
Vector problems can be applied in various fields such as physics, engineering, and navigation. For example, calculating the distance and direction of a plane from a given location, or determining the magnitude and direction of a force acting on an object. They are also used in computer graphics to create 3D images and animations.
