DONT USE AI 4. Consider the line I that passes through the points P(2,0,10) and Q(8,4,9). Answer the following: (a)Find the parametric vector equation of l. (b) Find the parametric rectangular equations of l. (c) Find the symmetric equations (if exist) of I. (d) Find the distance from point R(5,2,15) to l.

DONT USE AI 4. Consider the line I that passes through the points P(2,0,10) and Q(8,4,9). Answer the following: (a)Find the parametric vector equation of l. (b) Find the parametric rectangular equations of l. (c) Find the symmetric equations (if exist) of I. (d) Find the distance from point R(5,2,15) to l.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 32EQ

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Question

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DONT USE AI

4. Consider the line I that passes through the points P(2,0,10) and Q(8,4,9). Answer the following:
(a)Find the parametric vector equation of l.
(b) Find the parametric rectangular equations of l.
(c) Find the symmetric equations (if exist) of I.
(d) Find the distance from point R(5,2,15) to l.

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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