MYTUTOR SUBJECT ANSWERS

477 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, ...

8 months ago

Answered by Alex, an A Level Maths tutor with MyTutor


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

257 SUBJECT SPECIALISTS

£36 /hr

Adam D.

Degree: Economics and Management (Bachelors) - Bristol University

Subjects offered: Maths, Economics

Maths
Economics

“I am a second year undergraduate student at the University of Bristol, studying Economics and Management. I achieved A* in Economics and Maths A-levels and an A* at maths GCSE so would be very happy to help any students who are studyi...”

£20 /hr

Alex R.

Degree: Physics (Masters) - Edinburgh University

Subjects offered: Maths, Physics+ 3 more

Maths
Physics
Music
Computing
Chemistry

“About Me: I am a Physics student at the University of Edinburgh, however I also study Computer Science. I believe there is a beauty to Science and Mathematics, however it requires hard work and understanding to be fully appreciated. I ...”

MyTutor guarantee

£22 /hr

Bryan P.

Degree: Mathematics (Bachelors) - Bristol University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“I am currently a BSc Mathematics student at the University of Bristol and I am already no stranger to teaching.I have worked as a teaching assistant in my secondary school's maths department where I also led one-on-one sessions with ...”

About the author

£20 /hr

Alex T.

Degree: Mathematics (Bachelors) - Warwick University

Subjects offered: Maths

Maths

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

MyTutor guarantee

You may also like...

Other A Level Maths questions

What is the integral of ln(x)? Hint: use parts for this integration

A line has equation y = 2x + c and a curve has equation y = 8 − 2x − x^2, if c=11 find area between the curves

Find the indefinite integral tan(5x)tan(3x)tan(2x)

Differentiate with respect to x and write in its simpliest form, Y=(2x-3)/x^2?

View A Level Maths tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok