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Prove the property of cross products (Theorem 11).

Property 3: $ a \times (b + c) = a \times b + a \times c $

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05:46

Wen Zheng

05:08

Dylan Bates

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 4

The Cross Product

Vectors

Oregon State University

Harvey Mudd College

Baylor University

Idaho State University

Lectures

02:56

In mathematics, a vector (from the Latin word "vehere" meaning "to carry") is a geometric entity that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. Vectors play an important role in physics, engineering, and mathematics.

11:08

In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.

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We have a cross B plus C. A cross diplomacy. Uh, you to prove that it must be plus equal to Crosby plus a crazy. So we know that first of all we will find the cross product of these two. Okay, so this will be equal to LHs equals two A cross. Because this is in the same way that will be nothing but a Crosby. And then plus that will this plus over here and then the cross of vivid C. So that would be a cross of see that is exactly what we need to do at RHS. Okay, thank you.

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