can `-1/(2sqrt(2))-1/sqrt(2),-1/sqrt(3)` be the direction cosines of any directed line? Justify your answer.

(sqrt(3)+1+sqrt(3)+1)/(2sqrt(2))

The direction cosines of a vector hati+hatj+sqrt(2) hatk are:-

If 1/2,1/3,n are direction cosines of a line, then the value of n is

The Cartesian equations of a line AB are (2x-1)/(sqrt(3))=(y+2)/2=(z-3)/3dot Find the direction cosines of a line parallel to AB.

If direction cosines of a line are (1/a, 1/a, 1/a) then

1/(sqrt3 + sqrt2) + 1/(sqrt3 -sqrt2)=

Find the direction cosines of the line joining the points (1,-1,0) and (2, 1, 3).

If A equiv (2, 3, 4), B equiv (3, 4, 5). The direction cosine of a line are (1/sqrt(3), 1/sqrt(3), 1/sqrt(3)) Now integral value of the projection of AB on the given line is _______.

The direction cosines of the line passing through P(2,3,-1) and the origin are

sqrt 2(sqrt 2+1) - sqrt 2 (1+sqrt2) =?