If the direction ratios of a line are proportional to 1, -3, 2 then its direction cosines are `1/(sqrt(14)),-3/(sqrt(14)),2/(sqrt(14))` b. `1/(sqrt(14)),2/(sqrt(14)),3/(sqrt(14))` c. `-1/(sqrt(14)),3/(sqrt(14)),2/(sqrt(14))` d. `-1/(sqrt(14)),-2/(sqrt(14)),-3/(sqrt(14))`

If the direction ratios of a line are proportional to 1,-3,2 then its direction cosines are: a) (1)/(sqrt(14)),(-3)/(sqrt(14)),(2)/(sqrt(14)) b) (1)/(sqrt(14)),(3)/(sqrt(14)),(2)/(sqrt(14)) c) (-1)/(sqrt(14)),(3)/(sqrt(14)),(-2)/(sqrt(14)) d) (-1)/(sqrt(14)),(-3)/(sqrt(14)),(-2)/(sqrt(14))

The direction ratios of the line 2y+z-5=0=x-3y-6 are proportional to 3,\ 1,\ -2 b. 2,\ -4,\ 1 c. 3/(sqrt(14)),1/(sqrt(14)),(-2)/(sqrt(14)) d. 2/(sqrt(41)),(-4)/(sqrt(41)),1/(sqrt(41))

The direction cosines of AB if A-=(2,-3,1)and B-=(14,5,-3) are: a) (3)/(sqrt(14)),(2)/(sqrt(14)),(1)/(sqrt(14)) b) (3)/(sqrt(14)),-(2)/(sqrt(14)),-(1)/(sqrt(14)) c) -(3)/(sqrt(14)),-(1)/(sqrt(14)),(2)/(sqrt(14)) d) (3)/(sqrt(14)),(2)/(sqrt(14)),-(1)/(sqrt(14))

If P-=(1,2,3) and O is origin, then direction cosines of OP are: a) 1,2,3 b) -1,-2,-3 c) (1)/(sqrt(14)),(2)/(sqrt(14)),(3)/(sqrt(14)) d) (-1)/(sqrt(14)),(2)/(sqrt(14)),(3)/(sqrt(14))

(3)/(sqrt(19-2sqrt(88)))-(8)/(sqrt(14+2sqrt(33)))=

The direction-cosines of the vector hati + 2 hatj + 3 hatk are lt (1)/(sqrt(14)), (2)/(sqrt(14)),(3)/(sqrt(14)) gt

Rationalize the denominator 1/(sqrt(14))

|{:(sqrt(14)+sqrt3,sqrt(20),sqrt5),(sqrt(15)+sqrt(28),sqrt(25),sqrt(10)),(3+sqrt(70),sqrt(15),sqrt(25)):}|=.......

Three lines with direction ratios 1,1,2;sqrt(3)-1,-sqrt(3)-1,4;-sqrt(3)-1,sqrt(3)-1,4, enclose