If ` vec aa n d vec b` are any two vectors of magnitudes 2 and 3, respectively, such that `|2( vec axx vec b)|+|3( vec adot vec b)|=k ,` then the maximum value of `k` is a.`sqrt(13)` b. `2sqrt(13)` c. `6sqrt(13)` d. `10sqrt(13)`

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

Find the angle betweeen two vectors vec a and vec b with magnitudes 2 and 1 respectively and such that veca. vec b = sqrt3 .

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 vec aa n d vec b are two vectors, then prove that ( vec axx vec b)^2=| vec adot vec a vec adot vec b vec bdot vec a vec bdot vec b| .

Find the angle between two vectors vec a and vec b with magnitudes sqrt3 and 2, respectivey having vec a. vec b = sqrt6 .

If vec aa n d vec b are two given vectors and k is any scalar, then find the vector vec r satisfying vec rxx vec a+k vec r= vec bdot

If ( vec axx vec b)^2+( vec a dot vec b)^2=144a n d| vec a|=4, then find the value of | vec b|dot

Find the angle between the vecctors vec a and vec b with magnitudes 1 and 2 respectively and when vec a. vec b = sqrt(3)

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

If vec a and vec b are two vectors such that | vec axx vec b|=2, then find the value of [ vec a vec b vec axx vec b].