Vector Subtraction Flashcards

The process of finding the difference between two vectors by subtracting their corresponding components.

To subtract column vectors, subtract the corresponding components: (a, b) - (c, d) = (a - c, b - d).

The vector obtained after performing vector subtraction, representing the difference between two vectors.

Vector subtraction can be visualised as the vector from the tip of the second vector to the tip of the first vector.

The negative of a vector reverses its direction. For example, -v is the same magnitude as v but in the opposite direction.

To subtract position vectors, subtract the coordinates of the second point from the first point.

If u = (x₁, y₁) and v = (x₂, y₂), then u - v = (x₁ - x₂, y₁ - y₂).

To subtract vectors graphically, place the tail of the second vector at the head of the first vector, then draw the resultant vector.

Vector addition combines two vectors, while vector subtraction finds the difference between them.

If a plane's velocity is (200, 50) and the wind's velocity is (30, 10), the resultant velocity is (200 - 30, 50 - 10) = (170, 40).