The position vectors of points P and Q are i+2j-k and 7i+ 3j-4k respectively. (a) Find a vector equation of the line that passes through P and Q. (b) The line through P and Q is perpendicular to the vector 2i+nk. Find the value of n.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
icon
Related questions
Question
The position vectors of points P and Q are i+2j-k and 7i+3j - 4k respectively.
(a) Find a vector equation of the line that passes through P and Q.
(b)
The line through P and Q is perpendicular to the vector 2i+nk. Find the value of n.
Transcribed Image Text:The position vectors of points P and Q are i+2j-k and 7i+3j - 4k respectively. (a) Find a vector equation of the line that passes through P and Q. (b) The line through P and Q is perpendicular to the vector 2i+nk. Find the value of n.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning