If `hat a` and `hat b` are unit vectors such that [`hata` `hatb` `hatatimeshatb`]=`(1)/(4)` ,then the angle between `hat a` and `hat b` ,is equal to

If hat(a) and hat(b) are unit vectors such that (hat(a) + hat(b)) is a unit vector, what is the angle between hat(a) and hat(b) ?

If hat a,hat b,hat c are unit vectors satisfying hat a-sqrt(3)hat b+hat c=0 then the angle between the vectors hat a and hat c is (A) (pi)/(4) (B) (pi)/(3) (C) (pi)/(6) (D) (pi)/(2)

If hat a , hat b ,a n d hat c are three unit vectors, such that hat a+ hat b+ hat c is also a unit vector and theta_1,theta_2a n dtheta_3 are angles between the vectors hat a , hat b ; hat b , hat ca n d hat c , hat a respectively, then among theta_1,theta_2,a n dtheta_3dot a. all are acute angles b. all are right angles c. at least one is obtuse angle d. none of these

Let hat(a) , hat(b) " and " hat( c) be three unit vectors such that hat(a) xx (hat(b) xx hat( c)) = (sqrt(3))/(2)( hat(b) +hat(c )). If hat(b) is not parallel to hat( c) then the angle between hat(a) " and " hat(b) is

If widehat a,hat b are unit vector such that widehat a+hat b is a unit vectors,write the value of |widehat a-hat b|

Let hat(u), hat(v) and hat(w) are three unit vectors, the angle between hat(u) and hat(v) is twice that of the angle between hat(u) and hat(w) and hat(v) and hat(w) , then [hat(u) hat(v) hat(w)] is equal to

Let g(theta) =int_(-(hat a,hat b)^2)^(|hat a xx hat b|^2)(2t+1)dt, where theta is the angle between hat a and hat b. If volume of the parallelopinea whose coterminous edges are represented by vectors hat a,hat a xx hat b and hat a xx (hat a xx hat b) (where angle between hat a and hat b is taken from the equation 2g(theta) – 1 = 0), is p/q then find the least value of (p + q).

If theta is the angle between the unit vectors hat a and hat b then cos (theta/2) is equal to

If widehat a and hat b are two unit vectors,then the vector (widehat a+hat b)xx(widehat a xxhat b) is parallel to