Is it possible to draw three lines in two planes such that all three lines are skew?
2 answers:
Answer with explanation:
→Two lines in three dimensional plane are said to be Skew if they are neither parallel nor Intersecting.
→Skew lines can be drawn in three dimensional plane only.
→Drawn two skew lines in a Plane , and then drawn another line in a plane and found that , they are skew.
⇒Yes, it is possible to draw three lines in two planes such that all three lines are skew.
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The equation of the line is, .
Given that,
The equation of the line is,
And contains the point (-2, -5).
We have to determine,
What is the equation of the line that is perpendicular to the given line?
According to the question,
The equation of the line is,
On comparing with the standard equation of the line y = mx +c.
The slope of the line is 1/3.
When two lines are perpendicular the relation between these slopes is,
And line contains the point (-2, -5).
Then,
Therefore,
The equation of the line that is perpendicular to the given line and contains the point (-2, -5) is,
Hence, The required equation of the line is, .
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