In this video, we’ll dive into the vector equation of a line in 3D space. The vector equation takes the form: r = r_0 + tv where r, r_0, v are all vectors.
You’ll learn how to interpret this equation geometrically and apply it to find the equation of a line given a point and a direction vector. This fundamental concept is crucial for understanding lines in both 2D and 3D vector spaces.
What You Will Learn:
How to write the vector equation of a line in 3D space.
How to identify the point and direction vector components.
Applications of the vector equation in solving problems involving lines in space.
By the end of this video, you’ll be able to confidently find and use vector equations for lines in multiple dimensions.
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