Direction cosines of a line which passes through the points (1,2,3) and (-3,4,1) is
` frac{4}{2sqrt(6)}`, `frac{-2}{2sqrt(6)}`, `frac{2}{2sqrt(6)}`
`frac{4}{2sqrt(6)}`, `frac{-2}{2sqrt(6)}`, `frac{-2}{2sqrt(6)}`
`frac{4}{2sqrt(6)}`, `frac{4}{2sqrt(6)}`, `frac{2}{2sqrt(6)}`
`frac{-4}{2sqrt(6)}`, `frac{1}{2sqrt(6)}`, `frac{-2}{2sqrt(6)}`

Factorize 6+2sqrt(3)-sqrt(8)-2sqrt(6)

Let a unit vector hat u = x hat i y hat j z hat k make angles (pi)2, (pi)/3 and (2 pi)/3 with the vectors frac{1}{sqrt 2} hat i frac{1}{sqrt 2} hat k , frac{1}{sqrt 2} hat j frac{1}{sqrt 2} hat k and frac{1}{sqrt 2} hat i frac{1}{sqrt 2} hat j respectively. If vec v = frac{1}{sqrt 2} hat i frac{1}{sqrt 2} hat j frac{1}{sqrt 2} hat k , then |hat u - vec v|^2

6.Show that the points P(-frac{3}{2},3),Q(6,-2), and R(-3,4) are collinear.

What is the value of 2 sec 45^@+tan30^@ ? (A) frac((2sqrt6+1))(sqrt3) (B) sqrt3 (C) frac((2sqrt2+3))(sqrt6) (D) frac((9+2sqrt3))(9)

The value of tan 45^@ (A) sqrt3 (b) frac(sqrt3)(2) (C) frac(1)(sqrt3) (D) 1

(3-sqrt(6))/(3+2sqrt(6))=a sqrt(6)-b

sqrt(125)-4sqrt(6)+sqrt(294)-2sqrt((1)/(6))

Find the lim_(x to 0) frac{sqrt(x+2) -sqrt2}{root(3)(1-x) - sqrt(1+x)} .

Solve the expression frac(2)(3) + frac(3)(4) + frac(3)(8) + frac(3)(10)

. Add frac(-2)(3) and frac(3)(4).