TRUE OR FALSE?The directed line segment from the point A to the point B in the Cartesian plane is the vector1/2(a −b) Given a triangle (AOAB) with vertices O, A and B.Median: a median of a triangle is a line segment joining avertex to the midpoint of the opposite side, thus bisectingthat side. Every triangle has exactly three medians, onefrom each verfex, and they all intersect each other at thetriangle's centroid. We label the centroid of AOAB by C.Construction:1. Draw a horizontally directed line segment from theorigin O to a point A located on the x-axis of theCartesian plane, and call it vectora.This forms the base side OA of AOAB.2. Draw a second directed line segment from the origin Oto a point B located off the x-axis of the Cartesianplane and call it vector6.3. Join the points A and B thus obtained by a thirddirected line segment from point A to point B in theCartesian plane.4. This sketch is for your own use only. Do not submit itvia iKamva or via email.The directed line segment from thepoint A to the point B in the Cartesiarplane is the vector(a - 5).

We have to check given statement is true or false.

Answered: The directed line segment from the…

Math

Calculus

The directed line segment from the point A to the point B in the Cartesian plane is the vector 1/2

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.2: Similar Polygons

Problem 33E: In the drawing, ABDCEF with transversals l and m. If D and C are the midpoints of AE and BF,...

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Concept explainers

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

Question

TRUE OR FALSE?

The directed line segment from the point A to the point B in the Cartesian plane is the vector

1/2(a −b)

Given a triangle (AOAB) with vertices O, A and B.
Median: a median of a triangle is a line segment joining a
vertex to the midpoint of the opposite side, thus bisecting
that side. Every triangle has exactly three medians, one
from each verfex, and they all intersect each other at the
triangle's centroid. We label the centroid of AOAB by C.
Construction:
1. Draw a horizontally directed line segment from the
origin O to a point A located on the x-axis of the
Cartesian plane, and call it vector
a.
This forms the base side OA of AOAB.
2. Draw a second directed line segment from the origin O
to a point B located off the x-axis of the Cartesian
plane and call it vector
6.
3. Join the points A and B thus obtained by a third
directed line segment from point A to point B in the
Cartesian plane.
4. This sketch is for your own use only. Do not submit it
via iKamva or via email.
The directed line segment from the
point A to the point B in the Cartesiar
plane is the vector
(a - 5).

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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