Find the radius of the circular section of the sphere `|vecr|=5` by the plane `vecr*(veci+vecj-veck)=4sqrt(3)`.

Find the radius of the circular section of the sphere |vecr|=5 by the plane vecr*(veci+vecj+veck)=3sqrt(3) .

Find the radius of the circular section in which the sphere |vecr|=5 is cut by the plane vecr*(hati+hatj+hatk)=3sqrt(3)

Find the radius of the circular section in which the sphere |vecr|=5 is cut by the plane vecr*(hati+hatj+hatk)=3sqrt(3)

Find the length of the perpendicular from the origin to the plane vecr.(3veci+4vecj+12veck)=26

Find the cosine of the angel between the planes vecr.(2veci-3vecj-6veck)=7 and vecr.(6veci+2vecj-9veck)=5

Find the cosine of the angle between the planes vecr.(2veci-3vecj-6veck)=7 and vecr.(6veci+2vecj-9veck)=5

Find the vector equation of the line passing through (1,2,3) and parallel to the planes vecr.(veci-vecj+2veck)=5 and vecr.(3veci+vecj+veck)=6 .

Find the direction cosines and unit vector along the vector vecr=2veci+vecj+3veck .

Find the point of intersection of the line vecr=(vecj-veck)+s(2veci-vecj+veck) and Xz-plane

Find the value of lambda so that the plane vecr. (veci + 2vecj + 3veck) = 7 and vecr.(lambdaveci + 2vecj - 7veck) = 26 are perependicular to each other.