The vectors `hat A` and `hat B` are such that `|hat A+hat B|=|hat A-hat B|` .The angle between the two vectors is

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)

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 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

The unit vector perpendicular to both the vectors a=hat i+hat j+hat k and b=2hat i-hat j+3hat k and making an acute angle with the vector k is

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) ?

A non zero vector vec a is parallel to the line of intersection of the plane determined by the vectors hat i,hat i+hat j and the plane determined by by by the vectors hat i-hat j,hat i+hat k. The angle between vec a and hat i-2hat j+2hat k can be

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

The angle between the vectors (hat i + hat j + hat k) and ( hat i - hat j -hat k) is

The position vector of point C with respect to B is hat i+hat j and that of B with the respect to A is hat i-hat j .The position vector of C with respect to A is

vec a=hat i+hat j+hat k,vec b=hat i-hat j+hat k and vec c=hat i-hat j-hat k' be three vectors.A vector vec v in the plane of vec a and vec b. whose projection on vecc is (1)/(sqrt(3)), is given by