Find the angle between the lines, whose direction ratios are `2,3,6 and 1,2,2.`

Find the angle between the planes whose vector equation are given by vecr. (2 hati - hatj + 3 hatk) = 4 and vecr . (hati - 2 hatj + 4 hatk) =1.

Find the acute angle between the planes whose vector equations are vecr. (2 hati + 2 hatj - 3 hatk)= 5 and vecr. (3 hati - 3 hatj + 5 hatk) = 3.

Find the angle between the lines x-sqrt 3y=1 and sqrt 3x-y=1 .

Find the distance between the following pair of points : (2,-3) and (-4,1)

Find the distance between the following pair of points : (-3,-6) and (5,-2) .

Find the acute angle between the lines x - sqrt3 y = 1 and sqrt3 x -y = 4

Find the distance between the line 12x-5y+9=0 and the point (2,1).

Find the greatest angle in the triangle whose sides are x^2+x+1 ,2x+1, x^2-1

Find the measure of the angle between the vectors 3 hati + 2 hatj + 2hatk and 2 hati - hatj - 2 hatk .