Find the coordinates of the foot of perpendicular drawn from the point A
(-1,8,4) to the line joining the points B(0,-1,3) and C(2,-3,-1). Hence find the image of the point A in the line BC.
Suppose P be the foot of the perpendicular drawn from point A on the line joining
points B and C.
Let P’ (a, b, c) be the coordinates of the image of point A.
Find the distance of a point (2, 5, −3) from the plane
Consider the vector equation of the plane.
Thus the Cartesian equation of the plane is
6x-3y+2z-4 = 0
Let d be the distance between the point (2, 5, -3)
Find the equation of the plane which contains the line of intersection of the planes
and whose intercept on the x-axis is equal to that of on y-axis.
Write the sum of intercepts cut off by the plane on the three axes.
Given,