# 5.1: Two-Dimensional Vectors

Difficulty Level: At Grade Created by: CK-12
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### Vocabulary Language: English

TermDefinition
Bearing Bearing is how direction is measured at sea. North is $0^\circ$, east is $90^\circ$, south is $180^\circ$ , and west is $270^\circ$.
Component notation Component notation is used to describe vectors algebraically in terms of their $x$, $y$ and, if relevant, $z$ components.
Distance Formula The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ can be defined as $d= \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$.
force diagram A force diagram is a collection of vectors that each represent a force like gravity or wind acting on an object.
initial point The initial point of a vector is where the vector starts, also known as the tail of the vector.
Magnitude The magnitude of a line segment or vector is the length of the line segment or vector.
Pythagorean Theorem The Pythagorean Theorem is a mathematical relationship between the sides of a right triangle, given by $a^2 + b^2 = c^2$, where $a$ and $b$ are legs of the triangle and $c$ is the hypotenuse of the triangle.
resolving The process of determining the components of a vector is known as resolving the vector.
Scalar A scalar is a value representing only magnitude or size. Scalars can expressed with a single number.
terminal point The terminal point of a vector is where the vector ends, represented by an arrow.
Vector A vector is a mathematical quantity that has both a magnitude and a direction.

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