Let ` vec a , vec b a n d vec c` be three vectors having magnitudes 1, 5and 3, respectively, such that the angel between ` vec aa n d vec bi stheta` and ` vec axx( vec axx vec b)=c` . Then `t a ntheta` is equal to a. 0 b. 2/3 c. 3/5 d. 3/4

Let vec a , vec b , vec c be three unit vectors and vec a . vec b= vec a . vec c=0. If the angel between vec b and vec c is pi/3 , then find the value of |[ vec a vec b vec c]| .

Let vec(a),vec(b),andvec(c) be three vectors having magnitudes 1,1,2 respectively. If vec(a)xx(vec(a)xxvec(c))+vec(b)=0, then the acute angle between vec(a)andvec(c) is ……………

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

vec a , vec b ,a n d vec c are three vectors of equal magnitude. The angel between each pair of vectors is pi//3 such that | vec a+ vec b+ vec c|=6. Then | vec a| is equal to 2 b. -1 c. 1 d. sqrt(6)//3

If vec a , vec b ,a n d vec c are three vectors such that vec axx vec b= vec c , vec bxx vec c= vec a , vec cxx vec a= vec b , then prove that | vec a|=| vec b|=| vec c|dot

Let vec a , vec b ,a n d vec c be any three vectors, then prove that [ vec axx vec b vec bxx vec c vec cxx vec a]=[ vec a vec b vec c]^2dot

If vec aa n d vec b are two unit vectors incline at angle pi//3 , then { vec axx( vec b+ vec axx vec b)}dot vec b is equal to a. (-3)/4 b. 1/4 c. 3/4 d. 1/2

If vec aa n d vec b are any two vectors of magnitudes 1 and 2, respectively, and (1-3 vec adot 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 a. pi//3 b. pi-cos^(-1)(1//4) c. (2pi)/3 d. cos^(-1)(1//4)

If three unit vectors vec a , vec b ,a n d vec c satisfy vec a+ vec b+ vec c=0, then find the angle between vec aa n d vec bdot

If vec a , vec b , vec c are unit vectors such that vec adot vec b=0= vec adot vec c and the angle between vec ba n d vec c is pi//3 , then the value of | vec axx vec b- vec axx vec c| is 1//2 b. 1 c. 2 d. none of these