Consider the points in the plane P(10, 8) and Q(-1, -7) Sketch the vector PQ in 2-space. Clearly label each point and the vector. Find the position vector (the vector with initial point at the origin) that corresponds to the vector PQ and sketch the vector on your picture above. Clearly label each point and the vector. Find a vector perpendicular to PQ and call it v. Sketch it on the plane above. Clearly label each point and the vector and show that it is perpendicular.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 18EQ
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Consider the points in the plane P(10, 8) and Q(-1, -7)
Sketch the vector PQ in 2-space. Clearly label each point and the vector.
Find the position vector (the vector with initial point at the origin) that corresponds to the
vector PQ and sketch the vector on your picture above. Clearly label each point and the
vector.
Find a vector perpendicular to PQ and call it v. Sketch it on the plane above. Clearly label
each point and the vector and show that it is perpendicular.
Transcribed Image Text:Consider the points in the plane P(10, 8) and Q(-1, -7) Sketch the vector PQ in 2-space. Clearly label each point and the vector. Find the position vector (the vector with initial point at the origin) that corresponds to the vector PQ and sketch the vector on your picture above. Clearly label each point and the vector. Find a vector perpendicular to PQ and call it v. Sketch it on the plane above. Clearly label each point and the vector and show that it is perpendicular.
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