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  -   Calculus & Beyond Homework (http://www.physicsforums.com/forumdisplay.php?f=156)
  -   -   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).
  
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explanation: The document is a forum post from Physics Forums, specifically from the Calculus & Beyond Homework section. It contains a math question about vectors, which is broken down into multiple parts (a, b, c). The user, arianabedi, provides the problem statement, relevant equations, and mentions that they have not attempted the solution because vectors are not part of their course. Another user, Mark44, responds with a suggestion to wait until vectors are covered in their course. Arianabedi replies that they have been told they will not study vectors in their course.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: Physics Forums (http://www.physicsforums.com/index.php)
  -   Calculus & Beyond Homework (http://www.physicsforums.com/forumdisplay.php?f=156)
  -   -   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.
  © 2014 Physics Forums
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is a forum post from Physics Forums, specifically from the Calculus & Beyond Homework section. It contains a math question about vectors, which is broken down into multiple parts (a, b, c). The user, arianabedi, provides the problem statement, relevant equations, and mentions that they have not attempted the solution because vectors are not part of their course. Another user, Mark44, responds with a suggestion to wait until vectors are covered in their course. Arianabedi replies that they have been told they will not study vectors in their course.
  
  Label: question-and-answer