The points A and B have position vectors 2i + 6j – k and 3i + 4j + k respectively. The line l passes through both A and B. Find a vector equation for the line l.

MYTUTOR SUBJECT ANSWERS

Answers / Maths / A Level / The points A and B have position vectors 2i + 6j – k and 3i + 4j + k respectively. The line l passes through both A and B. Find a vector equation for the line l.

1054 views

The points A and B have position vectors 2i + 6j – k and 3i + 4j + k respectively. The line l passes through both A and B. Find a vector equation for the line l.

First you need to find the vector AB. This is equal to -OA+OB.

OA and OB are equal to the position vectors of A and B respectively so

-OA+OB= -2i - 6j + k + 3i + 4j + k = i - 2j + 2k = AB

Then we can take any point on the curve, P, and any point on the curve can be written in the form,

P+c(i - 2j + 2k) where c is an arbitrary constant, we will take P=A so the vector equation of the line l is r= 2i + 6j – k + c(i - 2j + 2k) where c is an arbitrary constant.

Alex T. GCSE Maths tutor, 13 plus Maths tutor, A Level Maths tutor, ...

1 year ago

Answered by Alex, an A Level Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist

344 SUBJECT SPECIALISTS

Praveenaa K. GCSE Further Mathematics tutor, A Level Further Mathema...

View profile

£22 /hr

Praveenaa K.

Degree: Mathematics (Masters) - Bristol University

Subjects offered:Maths, Science+ 4 more

“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

5.0

9 reviews | 14 completed tutorials

Save profile

Tadas T. A Level Maths tutor, GCSE Maths tutor, IB Maths tutor, A Lev...

View profile

£30 /hr

Tadas T.

Degree: MMathPhil Mathematics and Philosophy (Bachelors) - Oxford, St Anne's College University

Subjects offered:Maths, Further Mathematics + 3 more

“University of Oxford Maths and Philosophy student happy to help students learn and stay motivated!”

5.0

76 reviews | 130 completed tutorials

Save profile

£36 /hr

Timothy N.

Degree: Architecture and Environmental Engineering (Masters) - Nottingham University

Subjects offered:Maths, Physics+ 2 more

“Hi there, I have a passion for helping students achieve, and believe that with my 200+ hours of experience, we will be able to surpass the grades you want!”

5.0

128 reviews | 270 completed tutorials

Save profile

See more A Level Maths tutors

About the author

View profile

£20 /hr

Alex T.

Degree: Mathematics (Bachelors) - Warwick University

Subjects offered:Maths

“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

MyTutor guarantee

Save profile

Version:	3.49.4
Build:	b2e05e7dfef3
Time:	2017-08-18T11:35:22Z

MYTUTOR SUBJECT ANSWERS

The points A and B have position vectors 2i + 6j – k and 3i + 4j + k respectively. The line l passes through both A and B. Find a vector equation for the line l.

Still stuck? Get one-to-one help from a personally interviewed subject specialist

344 SUBJECT SPECIALISTS

About the author

You may also like...

Other A Level Maths questions

One-to-one help is at your fingertips