Find the length of the perpendicular drawn from the point`(5,4,-1)` to the line ` vec r= hat i+lambda(2 hat i+9 hat j+5 hat k),` wher `lambda` is a parameter.

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

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

Find the length of the perpendicular drawn from the point (5,4,-1) to the line vec r=hat i+lambda(2hat i+9hat j+5hat k), wher lambda is a parameter.

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 the 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) + lambda (2hat(i) + 3hat(j) - hat(k)) .

The length of the perpendicular drawn from the point (2,1,4) to the plane containing the lines vec r=(hat i+hat j)+lambda(hat i+2hat j-hat k) and vec r=(hat i+hat j)+mu(-hat i+hat j-2hat k) is:

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 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)+lambda(10hat i-4hat j-11hat k) Also find the length of the perpendicular.

Find the equation of a line passing through a point (2, -1, 3) and parallel to the line vec r=( hat i+ hat j)+lambda(2 hat i+ hat j-2 hat k)dot