Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. Curated computable knowledge powering Wolfram|Alpha. Wolfram|Alpha apps for iPhone, iPad, Android, and Kindle Fire—because every smart device needs a knowledge app. Wolfram|Alpha » Explore anything with the first computational knowledge engine. Vector analysis forms the basis of many physical and mathematical models. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music… Wolfram|Alpha brings expert-level knowledge and capabilities to the broadest possible range of people—spanning all professions and education levels. Knowledge-based, broadly deployed natural language. Get help for your Multivariable Calculus class. The equation would therfore be typed in a + (0.5b) +(x*(-a - (0.5*b))) so if you let vector a = {i,j} and vector b = {k,l} you get the above equation. Course Assistant Apps » An app for every course— right in the palm of your hand. The direction of the arrow matches the direction of the vector, while the length represents the magnitude of the vector. Wolfram Blog » Read our views on math, science, and technology. Solutions for higher-dimensional problems with support for partial derivatives and multiple integrals. The Wolfram Language can compute the basic operations of gradient, divergence, curl, and Laplacian in a variety of coordinate systems. MathWorld » The web's most extensive mathematics resource. Wolfram|Alpha Pro » Go beyond text input, get richer results, download, customize—bring computational knowledge to your own data with a Pro subscription. Vectors in any dimension are supported in common coordinate systems. By exploiting the Wolfram Language's efficient representation of arrays, operations can be performed on scalars, vectors, and higher-rank tensors in a uniform manner. Building on the Wolfram Language's powerful capabilities in calculus and algebra, the Wolfram Language supports a variety of vector analysis operations. Suppose you know only the point in R^n corresponding to your vector and you want to know its magnitude and direction. Web Apps powered by Wolfram|Alpha » Speed up your work with custom form-based interfaces. Wolfram|Alpha can now plot vectors with this arrow representation in 2D and 3D and return many other properties of the vector. Wolfram Knowledgebase. Moreover, these operators are implemented in a quite general form, allowing them to be used in different dimensions and with higher-rank tensors. you have above in one dimensional Wolfram Alpha would be. Wolfram Science. Wolfram Natural Language Understanding System.
Technology-enabling science of the computational universe. Basically you need to break the one vector equation into two one dimensional equations.