Position vector ` hat k` is rotated about the origin by angle `135^0` in such a way that the plane made by it bisects the angle between ` hat i` and `hatj`. Then its new position is

Position vector hat k is rotated about the origin by angle 135^0 in such a way that the plane made by it bisects the angel between hat ia n d hatjdot Then its new position is +-( hat i)/(sqrt(2))+-( hat j)/(sqrt(2)) b. +-( hat i)/2+-( hat j)/2-( hat k)/(sqrt(2)) c. ( hat i)/(sqrt(2))-( hat k)/(sqrt(2)) d. none of these

Find the angle between x-axis and the vector hat i+ hat j+ hat k

Find the angle between the vectors hat i-2 hat j+3k and 3 hat i-2 hat j+k

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

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 angle between x-axis and the vector hat(i) + hat(j) + hat(k)

What are the angles made by vector vec A =hat i + sqrt 3 hat j with x-axis and y-axis ?

Find the angle of vector vec a = 6 hat i + 2 hat j - 3 hat k with x -axis.

Find the angle between two vectors A= 2 hat i + hat j - hat k and B=hat i - hat k .

Find the angle between the vectors hat i-2 hat j+3 hat k and 3 hat i-2 hat j+ hat kdot