Is It Possible to Align Points on Two Circles with a Given Vector?

In summary, circles and parallel lines are different shapes with distinct characteristics. While circles are round, closed shapes with a constant radius, parallel lines are straight lines that never intersect and are always the same distance apart. To determine if a line is parallel to another line, you can check if they have the same slope or measure the distance between them at different points. The equation for a circle is (x - a)^2 + (y - b)^2 = r^2, where (a,b) is the center of the circle and r is the radius. Only one parallel line can be drawn to a given line through a given point, as parallel lines never intersect. Lastly, circles and lines cannot be parallel as they have different shapes and
  • #1
furnis1
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Homework Statement


I'm having difficulty on this problem:

"Two circles A, B ad a vector k are given. Determine points P on A and Q on B so that PQ is equal and parallel to k.
ii) describe the situation where this is impossible"

any body out there a master on circles, greatly appreciated!


Homework Equations





The Attempt at a Solution

 
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  • #2
Well it seems a lot of information such as the radii of the circles, relative position of the centre of the circles, as well as the vector k are not given.
 

Related to Is It Possible to Align Points on Two Circles with a Given Vector?

1. What is the difference between circles and parallel lines?

Circles are round, closed shapes with a constant radius, while parallel lines are two or more lines that never intersect and are always the same distance apart.

2. How can I determine if a line is parallel to another line?

If two lines have the same slope, they are parallel. You can also use a ruler to measure the distance between the lines at different points and see if the distance remains the same.

3. What is the equation for a circle?

The equation for a circle is (x - a)^2 + (y - b)^2 = r^2, where (a,b) is the center of the circle and r is the radius.

4. How many parallel lines can be drawn to a given line through a given point?

Only one parallel line can be drawn to a given line through a given point. This is because parallel lines never intersect, so there can only be one line that is the same distance from the given line at a specific point.

5. Can a circle and a line be parallel?

No, circles and lines cannot be parallel. A circle is a curved shape, while a line is a straight shape, so they can never have the same distance between them at all points.

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