Line:Class 12th :Dpp

Line:Class 12th :Dpp

Q1. Vector equation of a line passing through given point and parallel to given vector. (2)
Q2. Find the vector equation of the line passing through the point with position vector 2i+j-k and parallel to line joining the points -i+j+4k and i+2j+2k Also find the Cartesian form of this equation. (3)                                                                
Q3. Find the Cartesian equation of line passing through the points A(4,2,1), B(2,-1,3). Also reduce it to vector form. (3)
Q4.Find  the angle between the lines.                            (3)

(x-1)/4= (y-3)/1=(z)/8 and (x-2)/2=(y+1)/2=(z-4)/1   

Q5. Find equation of line passing through the point (3,1,2) and perpendicular to (3)

  (x-1)/1=(y-2)/2=(z-3/3) and (x)/-3=(y)/2=(z)/5

Q6. Find the foot of perpendicular from point (0,2,3) on the line  

     (x+3)/5=(y-1)/2=(z+4)/3   
 Also find the length of the perpendicular.  (3)

Q7. Find the shortest distance between the lines r= (2i-j)+λ(2i+j-3k) and r= (i-j+2k)+μ(2i+j-5k) (3)