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Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
- Graph a Function
Graph a Function - Graphing Calculator - Desmos
- 3D Graph
3D Graph - Graphing Calculator - Desmos
- 3-Dimensional Graphing Calculator
3-Dimensional Graphing Calculator - Graphing Calculator -...
- Line Graph
Line Graph - Graphing Calculator - Desmos
- Log & Exponential Graphs
Log & Exponential Graphs - Graphing Calculator - Desmos
- Graphing Linear Inequalities Systems
Graphing Linear Inequalities Systems - Graphing Calculator -...
- Vector Field Generator
Vector Field Generator - Graphing Calculator - Desmos
- Graphing a Quadratic Equation
Graphing a Quadratic Equation - Graphing Calculator - Desmos
- Graph a Function
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The vector equation is →vPG = →vPA + →vAG, where P = plane, A = air, and G = ground. From the geometry in Figure 4.6.6, we can solve easily for the magnitude of the velocity of the plane with respect to the ground and the angle of the plane’s heading, θ. Figure 4.6.6: Vector diagram for Equation 4.6.2 showing the vectors →vPA, →vAG ...
Because the boat is directed straight toward the other shore, its velocity is perpendicular to the velocity of the river. We draw the two vectors, v boat and v river, as shown in Figure 5.16. Using the head-to-tail method, we draw the resulting total velocity vector from the tail of v boat to the head of v river.
The standard unit vectors extend easily into three dimensions as well— i = ⟨1, 0, 0⟩, j = ⟨0, 1, 0⟩, and k = ⟨0, 0, 1⟩ —and we use them in the same way we used the standard unit vectors in two dimensions. Thus, we can represent a vector in ℝ3 in the following ways: v = ⟨x, y, z⟩ = xi + yj + zk.
The graphical method of subtracting vectorB B from A A involves adding the opposite of vector B, B, which is defined as −B. − B. In this case, A−B = A+(−B) = R. A − B = A + (− B) = R. Then, the head-to-tail method of addition is followed in the usual way to obtain the resultant vector R. R.
Draw the position and velocity vectors for relative motion. Analyze one-dimensional and two-dimensional relative motion problems using the position and velocity vector equations. Motion does not happen in isolation. If you’re riding in a train moving at 10 m/s east, this velocity is measured relative to the ground on which you’re traveling.
