The length of perpendicular from the origin to the line `vecr=(4hati+2hatj+4hatk)+lamda(3hati+4hatj-5hatk)` is (A) 2 (B) `2sqrt(3)` (C) `6 (D) 7

The foot of the perpendicular from the point (1,2,3) on the line vecr=(6hati+7hatj+7hatk)+lamda(3hati+2hatj-2hatk) has the coordinates

The equation of the plane containing the line vecr=hati+hatj+lamda(2hati+hatj+4hatk) is

The position vector of the foot of the perpendicular draw from the point 2hati-hatj+5hatk to the line vecr=(11hati-2hatj-8hatk)+lamda(10hati-4hatj-11hatk) is

Find the angle between the vectors 4hati-2hatj+4hatk and 3hati-6hatj-2hatk.

Find the perpendicular distance from the point (2hati-hatj+4hatk) to the plane vecr.(3hati-4hatj+12hatk) = 1 .

Find the line of intersection of the planes vecr.(3hati-hatj+hatk)=1 and vecr.(hati+4hatj-2hatk)=2

The vector parallel to the line of intersection of the planes vecr.(3hati-hatj+hatk) = 1 and vecr.(hati+4hatj-2hatk)=2 is :

The vector equation of the plane containing he line vecr=(-2hati-3hatj+4hatk)+lamda(3hati-2hatj-hatk) and the point hati+2hatj+3hatk is

Find the angle between the line vecr=(hati+2hatj-hatk)+lamda(hati-hatj+hatk) and the plane ver.(2hati-hatj+hatk)=4

The equation of the plane containing the lines vecr=(hati+hatj-hatk)+lamda(3hati-hatj) and vecr=(4hati-hatk)+mu(2hati+3hatk) , is