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choob
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Homework Statement
Find the vector equation of the line through 4,5,5 that meets (x-11)/3=7+8=z+4 at right angles
Homework Equations
The Attempt at a Solution
i have no idea where to start.
The formula for finding the intersection point of two lines is (x,y) where x = (c2 - c1)/(m1 - m2) and y = m1 * x + c1. Here, m1 and c1 are the slope and y-intercept of the first line, while m2 and c2 are the slope and y-intercept of the second line.
Two lines intersect if their slopes are different. If the slopes are the same, the lines are parallel and will never intersect. Additionally, if the lines have the same y-intercept, they are the same line and will intersect at all points along that line.
No, two lines can only intersect at one point. This is because two lines in a plane cannot have more than one point in common. If two lines have more than one point in common, they are not considered to be distinct lines.
To find the intersection point of two perpendicular lines, you can use the formula x = (c2 - c1)/(m1 - m2) and y = m1 * x + c1, where m1 and m2 are the slopes of the lines and c1 and c2 are the y-intercepts. However, in the case of perpendicular lines, the slopes are negative reciprocals of each other, so the formula can also be written as x = (c2 - c1)/(1/m1 - 1/m2) and y = m1 * x + c1.
No, if both lines are vertical or both lines are horizontal, they will never intersect. This is because the slopes of vertical lines are undefined, and the slopes of horizontal lines are zero. Therefore, the lines will never cross each other.