The vector `vec P=alphahat i+betahat j+gammahat k, alpha!=0` ,lies in the plane of the vector `vec Q=hat i+hat j` and `vec R=hat i+hat k` and bisects the angle between `vec Q` and `vec R` .Then the value of `(3 beta+4 gamma)/(2 alpha)` is

The vector vec a=""alpha hat i+2 hat j+""beta hat k lies in the plane of the vectors vec b="" hat"i"+ hat j and vec c= hat j+ hat k and bisects the angle between vec b and vec c . Then which one of the following gives possible values of alpha"and"beta ? (1) alpha=""2,beta=""2 (2) alpha=""1,beta=""2 (3) alpha=""2,beta=""1 (4) alpha=""1,beta=""1

Find the angel between the vectors vec a=hat i-hat j+hat k and vec b=hat i+hat j-hat k

Find angle between the vectors vec a=hat i+hat j-hat k and vec b=hat i-hat j+hat k

If vec A =4 hat I + 6 hat j -3 hat k and vec B =- 2 hat I -5 hat j + 7 hat k , find the angle between vec A and vec B .

A vector vec a=alphahat i+2hat j+betahat k , (alpha,beta in R) lies in the plane of the vectors, vec b=hat i+hat j and vec c=hat i-hat j+4hat k, where bar(a),bar(b),bar(c) are intersecting at origin. If vec a bisects the angle between vec b and vec c ,then

Find the angle between the vectors vec a and vec b where: vec a=hat i-hat j and vec b=hat j+hat k

Find the angle between the vectors vec A = hat I + 2 hat j- hat k and vec B =- hat I + hatj - 2 hat k .

If vec A=hat i+hat j+hat k,vec B=4hat i+4hat j+4hat k and vec R=vec A+vec B then angle that vec R makes with vec A is

Find the vector of magnitude 3, bisecting the angle between the vectors vec a=2hat i+hat j-hat k and vec b=hat i-2hat j+hat k

If vec a=hat i+hat j+hat k and vec b=hat j-hat k, find a vector vec c such that vec a x vec c=vec b and vec a*vec c=3