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Orthogonal and perpendicular are essentially the same thing: When two lines, planes, etc. intersect at a right angle, or 90 degrees, they are orthogonal/perpendicular.
Orthogonal is simply a term used more commonly for vectors, when they have a scalar/inner/dot product of 0, as:
vector u X vector v = (length of vector u) X (length of vector v) X cos @ ,
@ being the angle between the two vectors.
When the scalar product is 0, that is because @ is 90 degrees, and cos 90 = 0. Therefore, the vectors u and v are orthogonal.
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How can you determine if two lines are perpendicular?
If the angle formed between the intersecting lines are 90o then the two lines are perpendicular. In 2D coordinate geometry, a perpendicular line has a slope equal to the negative reciprocal of the original line.
ARE Acute angles are formed by perpendicular lines?
No. Perpendicular lines for right angles. That is why they are called perpendicular.
If two lines are their slopes are negative reciprocals?
If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.
Explain what is the relationship between the equations of perpendicular lines?
The relationship between perpendicular lines lies in there slopes. The slope of one line is the opposite reciprocal of the other. Written mathematically, the lines y=m*x +b and y =(-1/m)*x +c are perpendicular lines (note the y-intercepts do not need to be equal or even related to each other).
What do the angles on perpendicular lines add up to?
The angle between two perpendicular lines is 90 degrees. I am not sure whether you are referring to any other angles, and if yes, which ones.
