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

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

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

For given vectors,vec a=2hat i-hat j+2hat k and vec b=-hat i+hat j-hat k find the unit vector in the direction of the vector quad vec a+vec b

Find the angle between the vectors vec a and vec b where: vec a=hat i+2hat j-hat k,vec b=hat i-hat j+hat k

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

Find the angle between the vectors vec a and vec b where: vec a=2hat i-3hat j+hat k and vec b=hat i+hat j-2hat k

Find the angle between the vectors vec a and vec b where: vec a=3hat i-2hat j-jhat k and vec b=4hat i-hat j+8hat k

[vec a,vec b,vec c], when vec a=2hat i-3hat j+4hat k,vec b=hat i+2hat j-hat k and vec c=3hat i-hat j+2hat k