Line Perpendicular to a given line.

Line Perpendicular to a line

Condition OF line being parallel || Perpendicular || Coincident || Line perpendicular to given line || Angle between two line when one is parallel to x & y axis

The equation of a line is 3x + 4y - 7 = 0 . Find: the equation of a line perpendicular to the given line and passing through the intersection of the lines x - y + 2 = 0 and 3x + y - 10 = 0 .

If (1,2,1), (1,-3,2) are the direction ratios of two lines and (l, m,n) are the direction cosines of a line perpendicular to the given lines, then l + m + n

Consider the straight line 3x+4y+8=0 What is the slope of the line which is perpendicular to the given line.

Given the straight lines barr=3i+2j-4k+lambda(i+2j+2k) and barr=5i-2k+mu(3i+2j+6k) Form the equation of the line perpendicular to the given lines and passing through the point(1,1,1)

The line x/a-y/b=1 cuts the x-axis at P. Find the equation of the line through p and perpendicular to the given line.

Given the straight lines vecr=(3hati+2hatj-4hatk)+lambda(hati+2hatj+2hatk) and vecr=(5hatj-2hatk)+mu(3hati+2hatj+6hatk) i.Find the angle between the lines. ii. Obtain a unit vector perpendicular to both the lines. iii. Form the equation of the line perpendicular to the given lines and passing through the point (1,1,1).

Finding the equations of tangent and normal parallel or perpendicular to a given line

How many lines can be drawn which are perpendicular to a given line and pass through a given point lying (i) outside it? (ii) on it?