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 arianabedi Nov27-11 12:22 AM

Simple Vector question.

1. The problem statement, all variables and given/known data
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

2. Relevant 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

3. 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

 Mark44 Nov27-11 12:49 AM

Re: Simple Vector question.

Quote:
 Quote by arianabedi (Post 3636538) 1. The problem statement, all variables and given/known data 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 2. Relevant 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 3. 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?
Quote:
 Quote by arianabedi (Post 3636538) 4.Conclusion This question is really getting into my head and any help would be greatly appreciated. Regards, -A

 arianabedi Nov27-11 12:52 AM

Re: Simple Vector question.

Quote:
 Quote by Mark44 (Post 3636557) 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 Nov27-11 12:55 AM

Re: Simple Vector question.

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

 HallsofIvy Nov27-11 05:59 AM

Re: Simple Vector question.

For this problem, all you really need to know is that a point with position vector ai+ bj+ ck has coordinates (a, b, c).

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-   -   Simple Vector question. (http://www.physicsforums.com/showthread.php?t=554289)

 arianabedi Nov27-11 12:22 AM

Simple Vector question.

1. The problem statement, all variables and given/known data
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

2. Relevant 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

3. 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

 Mark44 Nov27-11 12:49 AM

Re: Simple Vector question.

Quote:
 Quote by arianabedi (Post 3636538) 1. The problem statement, all variables and given/known data 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 2. Relevant 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 3. 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?
Quote:
 Quote by arianabedi (Post 3636538) 4.Conclusion This question is really getting into my head and any help would be greatly appreciated. Regards, -A

 arianabedi Nov27-11 12:52 AM

Re: Simple Vector question.

Quote:
 Quote by Mark44 (Post 3636557) 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 Nov27-11 12:55 AM

Re: Simple Vector question.

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

 HallsofIvy Nov27-11 05:59 AM

Re: Simple Vector question.

For this problem, all you really need to know is that a point with position vector ai+ bj+ ck has coordinates (a, b, c).

 All times are GMT -5. The time now is 03:13 AM.

Powered by vBulletin Copyright ©2000 - 2014, Jelsoft Enterprises Ltd.
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The text passage is a forum post from a student asking for help with a vector question from A-Level mathematics, and it includes a multi-part mathematical question without providing answers.

TYPE: MULTIPLE_QUESTIONS