sqrt((14)/(3))

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))

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 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))

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))

Express the following surds with rational denominators (a)(2)/(sqrt(14))(b)(2.3^((1)/(3)))/(25^((1)/(3)))

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))

From a point within an equilateral triangle, perpendiculars drawn to the three sides are 6cm,7cm, and 8cm respectively.The length of the side of the triangle is 7cm(b)10.5cm (c) 14sqrt(3)backslash cm(d)(14sqrt(3))/(3)cm

Prove (i) root3(20+14sqrt((2)))+root3(20-14sqrt((2)))=4 (ii) {6+sqrt((847)/(27))}^(1//3)+{6-sqrt((847)/(27))}^(1//3)=3

If hata=hati+2hatj+3hatk, hatb=hatixx(vecaxxhati)+hatjxx(vecaxxhatj)+hatkxx(vedaxxhatk) then length of vecb is equal to (A) sqrt(12) (B) 2sqrt(12) (C) 2sqrt(14) (D) 3sqrt(12)