243 Lecture 1 Video 2

We plot some points in xyz-sapce.

We introduce vector components and use them to find magnitudes.

We introduce the 3-dimensional coordinate axes.

We introduce vector addition and scalars.

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We introduce the dot product.

We study vector projections.

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We introduce the cross product and determinants.

We introduce the concepts of orthogonality, unit vectors, and directional angles.

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We introduce equations of lines in 3-dimensional space.

We introduce quadric surfaces and sketch the graph of elliptic paraboloids.

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We introduce cylinders and sketch their graphs.

We discuss the peculiar algebraic properties of the cross product, and we introduce the scalar triple product.

We differentiate and integrate vector functions.

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