Evaluate :

`| veci + vecj |` =

( A ) 2
( B ) `sqrt2 `
( C ) `sqrt3`
( D ) 1

Evaluate : Find the value of sqrt( 3 + sqrt(5)) a ) sqrt(3)/2 + 1/sqrt(2) b ) sqrt(3)/2 - 1/2 c ) sqrt(5)/2 - 1/sqrt(2) d ) sqrt(5)/sqrt(2) + 1/sqrt(2)

(sqrt8)^(1/3) = ? (a) 2 (b) 4 (c) sqrt2 (d) 2sqrt2

If A(1,-1,2),B(2,1,-1)C(3,-1,2) are the vertices of a triangle then the area of triangle ABC is (A) sqrt(12) (B) sqrt(3) (C) sqrt(5) (D) sqrt(13)

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

The value of cos (1110^@) is A. sqrt3//2 B. 1//2 C. 1//sqrt2 D. 1

if x=(sqrt2 + 1 ) ^(-1//3) , then the value of (x^3 - frac(1) (x^3)) is (A) 0 (B) -sqrt2 (C ) -2 (D) 3sqrt2

Delta ABC has a right angle at A. If BC = sqrt2 and AB = AC = 1 then sin B is equal to (a) (1)/(sqrt2) (b) sqrt2 (c) (sqrt3)/(2) (d) sqrt3

If a = sqrt3, b = (1)/(2) (sqrt6 + sqrt2), and c = sqrt2 , then find angle A

The distance between the line vecr=2hati-2hatj+3hat+lamda(veci-vecj+4veck) and the plane vecr.(veci+5vecj+veck)=5 is (A) 10/3sqrt(3) (B) 10/9 (C) 10/3 (D) 3/10