If `| vec a+ vec b|<| vec a- vec b|,` then the angle between ` vec aa n d vec b` can lie in the interval a. `(pi//2,pi//2)` b. `(0,pi)` c. `(pi//2,3pi//2)` d. `(0,2pi)`

If | vec a|+| vec b|=| vec c| and vec a+ vec b= vec c , then find the angle between vec a and vec bdot

If unit vectors vec a and vec b are inclined at angle 2theta such that | vec a- vec b|<1a n d0lt=thetalt=pi ,t h e n theta lies in interval a. [0,pi//6) b. (5pi//6,pi] c. [pi//6,pi//2] d. [pi//2,5pi//6]

If | vec(a)|= 4 , |vec(b)| = 2 sqrt(3) and |vec(a) xx vec(b)| = 12, then the angle between the vectors vec (a) and vec (b) is -

If vec a , vec b and vec c are non-coplanar unit vectors such that vec axx( vec bxx vec c)=( vec b+ vec c)/(sqrt(2)) , then the angle between vec a and vec b is a. 3pi//4 b. pi//4 c. pi//2 d. pi

If vec aa n d vec b are two vectors of magnitude 1 inclined at 120^0 , then find the angle between vec ba n d vec b- vec adot

If vec aa n d vec b are any two vectors of magnitudes 1 and 2, respectively, and (1-3 vec a . vec b)^2+|2 vec a+ vec b+3( vec axx vec b)|^2=47 , then the angel between vec aa n d vec b is pi//3 b. pi-cos^(-1)(1//4) c. (2pi)/3 d. cos^(-1)(1//4)

If the angel between unit vectors vec aa n d vec b60^0 , then find the value of | vec a- vec b|dot

Column I, Column II If | vec a+ vec b|=| vec a+2 vec b| , then angel between vec aa n d vec b is, p. 90^0 If | vec a+ vec b|=| vec a-2 vec b| , then angel between vec aa n d vec b is, q. obtuse If | vec a+ vec b|=| vec a- vec b| , then angel between vec aa n d vec b is, r. 0^0 Angle between vec axx vec b and a vector perpendicular to the vector vec cxx( vec axx vec b) is, s. acute

If [ vec a vec b vec c]=2, then find the value of [( vec a+2 vec b- vec c)( vec a- vec b)( vec a- vec b- vec c)]dot

If vec a , vec b ,a n d vec c are such that [ vec a vec b vec c]=1, vec c=lambda vec axx vec b , , | vec a|=sqrt(2),| vec b|=sqrt(3)a n d| vec c|=1/(sqrt(3)) , then the angle between vec a and vec b is pi/6 b. pi/4 c. pi/3 d. pi/2