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March 9th, 2016, 09:23 AM  #1 
Newbie Joined: Mar 2016 From: Canada Posts: 24 Thanks: 0  I could really use some assistance with these questions
I would be very grateful to receive some help on answering these questions. 1. a) Determine the symmetric equations for the line through P(5, 6, 10) and parallel to the line with equation = (6, 1, 1) + t(−2, 1, 3). b) Determine two other points on this line 2. Determine parametric equations for the plane through the points A(2, 1, 1), B(0, 1, 3), and C(1, 3, −2). 3. Determine a vector equation for the plane that is parallel to the xy plane and passes through the point (4, 1, 3). 4. Determine a scalar equation for the plane through the points M(1, 2, 3) and N(3 ,2, 1) that is perpendicular to the plane with equation 3x + 2y + 6z + 1 = 0. 5. Show that the line with parametric equations x = 6 + 8t, y = −5 + t, z = 2 + 3t does not intersect the plane with equation 2x − y − 5z − 2 = 0. 6. Determine the intersection, if any, of the planes with equations x + y – z + 12 =0 and 2x + 4y  3z + 8 = 0. 7. Solve the following system of equations and give a geometrical interpretation of the result. x + y + z = 6 2x + y − 3z = 5 4x − 5y + z = −3 8. Give a geometrical interpretation of the intersection of the planes with equations x + y − 3 = 0 y + z + 5 = 0 x + z + 2 = 0 9. Determine a scalar equation for the plane that passes through the point (2, 0, −1) and is perpendicular to the line of intersection of the planes 2x + y – z + 5 = 0 and x + y + 2z + 7 = 0. 10. Explain why there are many different vector and parametric equations for a line. Thank you for taking the time to look through them 
March 9th, 2016, 03:06 PM  #2 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,830 Thanks: 648 Math Focus: Yet to find out. 
Can you please post at least one questions at a time and show us your working or at least how you think you'd go about solving them.

March 9th, 2016, 03:22 PM  #3 
Senior Member Joined: Jul 2014 From: भारत Posts: 1,178 Thanks: 230  Looks like a question paper without marking scheme. 
March 9th, 2016, 06:32 PM  #4 
Newbie Joined: Mar 2016 From: Canada Posts: 24 Thanks: 0  
March 9th, 2016, 06:35 PM  #5  
Senior Member Joined: Feb 2016 From: Australia Posts: 1,830 Thanks: 648 Math Focus: Yet to find out.  Quote:
If this toolbar is not available, it's because you are posting a 'quick reply'. If this is the case, next to the 'Post quick reply' button, there should be another button saying 'Go Advanced'. The 'advanced' editor will have all the available features for this forum (including insert image). Hope this helps!  
March 13th, 2016, 11:01 PM  #6 
Newbie Joined: Mar 2016 From: Canada Posts: 24 Thanks: 0  Still not getting it
If anyone know answers or equations i should use for any of these questions that would be greatly appreciated.

March 14th, 2016, 10:00 AM  #7 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 
You started by asking for "help" on these questions now you are just asking for the answers! Where did you get these questions? If they are from a course, do you not know anything about at least the definitions of things like "symmetric equations", "parametric equations", "vector equations"? Joppy, I think you meant "Please post at most one question at a time."! 
March 14th, 2016, 11:58 AM  #8 
Newbie Joined: Mar 2016 From: Canada Posts: 24 Thanks: 0 
It's my unit review for the Lines and planes unit for my calculus course


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