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 symmetric form of the line given by vecr =(2hati -hatj + 3hatk) + lambda(3hati - 4hatj + 5hatk) 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

A unit vector perpendicular to both the vectors 2hati-2hatj+hatk and 3hati+4hatj-5hatk , is

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

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

Find the angle between the planes vecr.(3hati-4hatj+5hatk)=0 and vecr.(2hati-hatj-2hatk)=7 .

Calculate the angular momentum if vecr=2hati-3hatj-4hatk and vecP= hati+hatj-5hatk .

If p_(1) and p_(2) are the lengths of perpendiculars from the points hati - hatj + 3hatk and 3hati + 4hatj + 3hatk to the plane barr *(5hati + 2hatj - 7hatk) + 8 = 0 , then