# Simple Vector question.

## Homework Statement

This is a "exam style" question for A-Level mathematics regarding vectors. The question is as followed:

Relative to a fixed origin O, the points A and B have position vectors 4i+3j-k and i+4j+4k respectively.

(a) Find the vector equation of the line l1 which passes through A and B.

The line l2 has equation r=22i+aj+4k+μ(bi-j+2k), where μ is scalar parameter and a and b are constants.
The lines l1 and l2 are perpendicular and intersect. Find:

(b) the values of a and b

(c) the position vector of the point of intersection of l1 and l2

## Homework Equations

Vector equation of a strait line through two points C and D:

r=c+t(d-c)

if there is any other ones, I am unfortunately unaware of

## The Attempt at a Solution

Sadly I've been given no knowledge of how to do this question since vectors is not a part of my course. Therefore there are no attempts made

4.Conclusion
This question is really getting into my head and any help would be greatly appreciated.

Regards,
-A

Last edited:

Mark44
Mentor

## Homework Statement

This is a "exam style" question for A-Level mathematics regarding vectors. The question is as followed:

Relative to a fixed origin O, the points A and B have position vectors 4i+3j-k and i+4j+4k respectively.

(a) Find the vector equation of the line l1 which passes through A and B.

The line l2 has equation r=22i+aj+4k+μ(bi-j+2k), where μ is scalar parameter and a and b are constants.
The lines l1 and l2 are perpendicular and intersect. Find:

(b) the values of a and b

(c) the position vector of the point of intersection of l1 and l2

## Homework Equations

Vector equation of a strait line through two points C and D:

r=c+t(d-c)

if there is any other ones, I am unfortunately unaware of

## The Attempt at a Solution

Sadly I've been given no knowledge of how to do this question since vectors is not a part of my course. Therefore there are no attempts made
Then why don't you wait until vectors are presented in your course, or when you take a course where vectors are presented?
4.Conclusion
This question is really getting into my head and any help would be greatly appreciated.

Regards,
-A

Then why don't you wait until vectors are presented in your course, or when you take a course where vectors are presented?

Well the reason is that I've been told by my tutor that I will not be studying vectors.

Mark44
Mentor
Then how do you expect to be able to solve problems that involve vectors?

HallsofIvy