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Points and vectors

Computing the vector from one point to another in R^3, and solving for unknowns that make two vectors in R^2 equal component by component.

Matrix Theory and Linear Algebra, Points and vectors

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2 exercises

Exercise 2.1.2

Given the points $P=(2,0,-4)$ and $Q=(5,-2,1)$ , find $\overrightarrow{PQ}$ and $\overrightarrow{QP}$ .

3.0

Exercise 2.1.3

Find $x$ and $y$ so that $\mathbf{u}=\left[5x-3y,4\right]^{T}$ and $\mathbf{v}=\left[2x-2y,2y\right]^{T}$ are equal in $\mathbb{R}^{2}$ .

3.0

Adapted from Matrix Theory and Linear Algebra © 2017–2026 Peter Selinger, Lyryx Learning, and Ken Kuttler. Licensed under CC BY 4.0. Source: Matrix Theory and Linear Algebra. Imported at revision d74bc3a.