In Exercises 31-34, find the vector which, when translated, represents geometrically an arrow reaching from the first point to the second. 31. From (-1, 3) to (4, 2) in $\mathbb{R}^2$ 32. From (-3, 2, 5) to (4, -2, -6) in $\mathbb{R}^3$
Added by Erica S.
Close
Step 1
Step 1: To find the vector that represents the arrow from the first point to the second, we subtract the coordinates of the first point from the coordinates of the second point. Show more…
Show all steps
Your feedback will help us improve your experience
Carson Merrill and 51 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Refer to the figure and carry out the following vector operations. Components and magnitudes Define the points $O(0,0), P(3,2)$ $Q(4,2),$ and $R(-6,-1) .$ For each vector, do the following. (i) Sketch the vector in an $x y$ -coordinate system. (ii) Compute the magnitude of the vector. $$\text { a. } \overrightarrow{O P}$$ $$\text { b. } \overrightarrow{Q P}$$ $$\text { c. } \overrightarrow{R Q}$$
Vectors and Vector-Valued Functions
Vectors in the Plane
In Exercises 53-56, the initial and terminal points of a vector are given. Write a linear combination of the standard unit vectors $\mathbf{i}$ and $\mathbf{j}$. Initial Point - $(-2, 1)$ Terminal Point - $(3, -2)$
Additional Topics in Trigonometry
In Exercises 57 and 58, the initial and terminal points of a vector $\mathrm{v}$ are given. (a) Sketch the directed line segment, (b) find the component form of the vector, and (c) sketch the vector with its initial point at the origin. Initial point: $(-1,2,3)$ Terminal point: $(3,3,4)$
Vectors and the Geometry of Space
Space Coordinates and Vectors in Space
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD