Find the equation of the perpendicular drawn from the point P(-1,3,2) to the line `vec(r)=(2hat(i)+3hat(k))+t(2hat(i)+hat(j)+3hat(k))`. Also find the coordinates of the foot of the perpendicular from P.

Fine the equation of the perpendicular drawn from the point P(-1,\ 3,\ 2) to the line -> r=(2 hat j+3 hat k)+lambda( hat i+2 hat j+3 hat k)dot Also find the coordinates of the foot of the perpendicular from Pdot

Find the length of the perpendicular drawn from the point (5,4,-1) to the line vec(r)=hat(i)+t(2hat(i)+9hat(j)+5hat(k))

Find the coordinates of the foot of perpendicular and the length of the perpendicular drawn from the point P(5,4,2) to the line vec(R)=-hat(i)+3hat(j)+hat(k)+lamda(2hat(i)+3hat(j)-hat(k)) . Also find the image of P in this line.

Find the foot of the perpendicular drawn from the point (2hat(i)-hat(j)+5hat(k)) to the line vec(r)=(11hat(i)-2hat(j)-8hat(k))+t(10hat(i)-4hat(j)-11hat(k)) . Find also the length of the perpendicular.

Find the foot of the perpendicular drawn from the point 2hat i-hat j+5hat k to the line vec r=(11hat i-2hat j-8hat k)+lambda(10hat i-4hat j-11hat k) Also find the length of the perpendicular.

Find the co-ordinates of the foot of perpendicular and the length of the perpendicular drawn from the point P (5,4,2) to the line : vec(r) = hati + 3 hat(j) + hat(k) + lambda ( 2 hat(i) + 3 hatj - hatk ) . Also, find the image of P in this line.

Find the foot of the perpendicular drawn from the point hat i+6 hat j+3 hat k to the line vec r= hat j+2 hat k+lambda( hat i+2 hat j+3 hat k)dot Also, find the length of the perpendicular.

Find the coordinates of the foot of the bot and the length of the bot drawn from the point P(5,4,2) to the line. vec(r) = - hat(i) + 3 hat(j) + hat(k) + lambda (2 hat(i) + 3 hat(j) - hat(k)) . Also find the image of P in this line.