Get help for your Multivariable Calculus class. Vector analysis forms the basis of many physical and mathematical models.

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. Web Apps powered by Wolfram|Alpha » Speed up your work with custom form-based interfaces. Technology-enabling science of the computational universe. Wolfram Science. Solutions for higher-dimensional problems with support for partial derivatives and multiple integrals.

The equation would therfore be typed in

you have above in one dimensional Wolfram Alpha would be.
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The Wolfram Language can compute the basic operations of gradient, divergence, curl, and Laplacian in a variety of coordinate systems.

Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. Knowledge-based, broadly deployed natural language. Building on the Wolfram Language's powerful capabilities in calculus and algebra, the Wolfram Language supports a variety of vector analysis operations. Vectors in any dimension are supported in common coordinate systems.

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. 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. Basically you need to break the one vector equation into two one dimensional equations. Wolfram Blog » Read our views on math, science, and technology.

Moreover, these operators are implemented in a quite general form, allowing them to be used in different dimensions and with higher-rank tensors.

The direction of the arrow matches the direction of the vector, while the length represents the magnitude of the vector.

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Wolfram Natural Language Understanding System. Wolfram|Alpha Pro » Go beyond text input, get richer results, download, customize—bring computational knowledge to your own data with a Pro subscription. Suppose you know only the point in R^n corresponding to your vector and you want to know its magnitude and direction. Wolfram|Alpha can now plot vectors with this arrow representation in 2D and 3D and return many other properties of the vector. Course Assistant Apps » An app for every course— right in the palm of your hand. Wolfram Knowledgebase. MathWorld » The web's most extensive mathematics resource.