The length of the perpendicular from the...

The length of the perpendicular from the origin to the plane passing through the points `veca` and containing the line `vecr = vecb + lambda vecc` is

A

`([a b c])/(|atimesb+btimesc+ctimesa|)`

B

`([a b c])/(|atimesb+btimesc|)`

C

`([a b c])/(|atimesb+ctimesa|)`

D

`([a b c])/(|btimesc+ctimesa|)`

Verified by Experts

The correct Answer is:

(c)

Similar Questions

Explore conceptually related problems

The perpendicular from the origin to a line meets it at the point (-2,9) , find the equation of the line.

Length of perpendicular from origin to the line l:x-sqrt(3)y+4=0 is 4 unit.

Find the equation of a line perpendicular to the line x-2y+ 3=0 and passing through the point (1,-2) .

The perpendicular from the origin to the line y=mx+c meets it at the point (-1,2) . Find the values of m and c.

Find length of perpendicular from origin to the lines passes from points ( cos theta , sin theta ) and ( cos phi , sin phi) .

If the foot of perpendicular from the origin to the plane is (a,b,0) thne the eqution of the plane is .......

The perpendicular from the origin to the line y = mx + c meets it at the point (-1, 2) . Find the values of m and c.

The equation of the line passing through the point (1, 2) and perpendicular to the line x+y + 1 = 0 is

The foot of perpendicular from the origin to the plane is (a,b,c). So the equation of the plane is ..........