Let u and v are unit vectors such that u v =0 . If r is any vector coplanar with u and v , then the magnitude of the vector r ( u v ) is

Step-by-step solution

Given, | u |=| v |=1, u v =0 To find, | r ( u v )| u v =0 | u || v | =0 =0 = 2 Consider u v =| u || v | 2 n = n Since r is coplanar with u and v . Hence, n is perpendicular to r . | r ( u v )|=| r n |=|| r || n | 2 |=| r |