Write all the unit vectors in XY - plane.

Write down a unit vector in XY-plane, making an angle of 30^(@) with the positive direction of x-axis.

If the sum of two unit vectors is also a unit vector. Find the magnitude of their difference ?

if theta is the angle between the unit vectors a,b then |a - b| =

If theta is the angle between the unit vectors a,b then |a + b| =

If barb=4bari+3barj and barc be two perpendicular vectors in xy-plane. The vector in the same plane having components 1, 2 along barb and barc respectively, is

A : The vector equation of the plane which is at a distance of 5 unit from origin and perpendicular to 2i - j + 2k is r. (2i - j + 2k) = 15 R : The vector equation of the plane which is at distance of p from origin and perpendicular to the unit vector n is r.n =p

If the difference of two unit vectors is also a vector of unit magnitude, the magnitude of the sum of the two unit vectors is