|
Question 556878: Lines m and n intersect at point A. Line k is perpendicular to both lines m and n at point A. Which statement must be true?
1) Lines m, n and k are in the same plane.
2) Lines m and n are in two different planes.
3) Lines m and n are perpendicular to each other.
4) Line k is perpendicular to the plane containing lines m and n.
The correct answer choice is number 4, but I don't know why it is not 3.
Please help!!!
Found 2 solutions by scott8148, Alan3354:
Answer by scott8148(6628)   (Show Source):
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! Lines m and n intersect at point A. Line k is perpendicular to both lines m and n at point A. Which statement must be true?
1) Lines m, n and k are in the same plane.
2) Lines m and n are in two different planes.
3) Lines m and n are perpendicular to each other.
4) Line k is perpendicular to the plane containing lines m and n.
The correct answer choice is number 4, but I don't know why it is not 3.
-----------------
If you draw 2 intersecting lines on paper, a 3rd line can be perpendicular to both if the 1st 2 lines are perpenicular, or if they're not.
3 might be true, but is not a requirement.
Use a paper on a desk and do it. a pencil held perpendicular to both lines is perpendicular, actually the term is normal, to the paper. This is true regardless of the angle between the lines on the paper.
----------
PS 3-space is a lot more than 50% harder than 2-space.
|
|
|
| |
