Find the acute angle between the lines `(x-1)/l=(y+1)/m=1/na n d=(x+1)/m=(y-3)/n=(z-1)/lw h e r el > m > n ,a n dl ,m ,n` are the roots of the cubic equation `x^3+x^2-4x=4.`

Acute angle between the lines (x-1)/(l)=(y+1)/(m)=(z)/(n) and (x+1)/(m)=(y-3)/(n)=(z-1)/(l) where l>m>n and l,m,n are the roots of the cubic equation x^(3)+x^(2)-4x=4 is equal to: cos^(-1)(4)/(9)(b)sin^(-1)(sqrt(65))/(9)2cos^(-1)sqrt((13)/(18))(d)cot^(-1)(4)/(65)

Find the angle between the following pairs of line: (x+4)/3=(y-1)/5=(z+3)/4a n d(x+1)/1=(y-4)/1=(z-5)/2

Find the angle between the following pairs of line: (x-1)/2=(y-2)/3=(z-3)/(-3)a n d(x+3)/(-1)=(y-5)/8=(z-1)/4

Find the angle between the plane: 2x-3y+4z=1\ a n d-x+y=4.

Find the angle between the following pairs of line: (x-5)/1=(2y+6)/(-2)=(z-3)/1a n d(x-2)/3=(y+1)/4=(z-6)/5

Find the angle between the following pairs of line: (-x+2)/(-2)=(y-1)/7=(z+3)/(-3)a n d(x+2)/(-1)=(2y-8)/4=(z-5)/4

Distance of the point P(x_(2),y_(2),z_(2)) from the line (x-x_(1))/(l)=(y-y_(1))/(m)=(z-z_(1))/(n), where l,m,n are the direction cosines of the line,is

The condition that the line (x-x_(1))/(l)=(y-y_(1))/(m)=(z-z_(1))/(n) lies in the plane ax+by+cz+d=0 is

What is the angle between the straight lines (m^(2)-mm)y=(mm+n^(2))x+n^(3) and(mn+m^(2))y=(mn-n^(2))x+m^(3) where mgtn ?