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March 9th, 2016, 10:23 AM   #1
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Exclamation 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
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March 9th, 2016, 04:06 PM   #2
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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.
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March 9th, 2016, 04:22 PM   #3
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Looks like a question paper without marking scheme.
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March 9th, 2016, 07:32 PM   #4
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Quote:
Originally Posted by Joppy View Post
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.
I'm actually not sure how you upload a picture of your work. (i wrote it on paper) how do you do that?
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March 9th, 2016, 07:35 PM   #5
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Quote:
Originally Posted by puppypower123 View Post
I'm actually not sure how you upload a picture of your work. (i wrote it on paper) how do you do that?
When you reply to a post or post a new thread there should be a toolbar above the box in which you write your text. In this toolbar there is an 'insert image' button, select this and choose the image you want to upload.

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!
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March 14th, 2016, 12:01 AM   #6
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Still not getting it

If anyone know answers or equations i should use for any of these questions that would be greatly appreciated.
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March 14th, 2016, 11:00 AM   #7
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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."!
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March 14th, 2016, 12:58 PM   #8
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It's my unit review for the Lines and planes unit for my calculus course
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