["The unit vector which is orthogonal"],["to the vector "3hat i+2hat j+6hat k" and is"],["coplanar with vectors "2hat i+hat j+hat k" and "],[hat i-hat j+hat k" is "]

The unit vector which is orthogonal to the vector 3hat i+2hat j+6hat k and is coplanar with the vectors 2hat i+hat j+hat k and hat i-hat j+hat k is

The unit vector which is orthogonal to the vector 3 hat j+2 hat j+6 hat k and is coplanar with vectors 2 hat i+ hat j+ hat ka n d hat i- hat j+ hat k is (2 hat i-6 hat j+ hat k)/(sqrt(41)) b. (2 hat i-3 hat j)/(sqrt(13)) c. (3 hat j- hat k)/(sqrt(10)) d. (4 hat i+3 hat j-3 hat k)/(sqrt(34))

The unit vector which is orthogonal to the vector 3 hat i+2 hat j+6 hat k and is coplanar with vectors 2 hat i+ hat j+ hat ka n d hat i- hat j+ hat k is (2 hat i-6 hat j+ hat k)/(sqrt(41)) b. (2 hat i-3 hat j)/(sqrt(13)) c. (3 hat j- hat k)/(sqrt(10)) d. (4 hat i+3 hat j-3 hat k)/(sqrt(34))

The unit vector which is orthogonal to the vector 5 hat j+2 hat j+6 hat k and is coplanar with vectors 2 hat i+ hat j+ hat ka n d hat i- hat j+ hat k is (2 hat i-6 hat j+ hat k)/(sqrt(41)) b. (2 hat i-3 hat j)/(sqrt(13)) c. (3 hat i- hat k)/(sqrt(10)) d. (4 hat i+3 hat j-3 hat k)/(sqrt(34))

The unit vector which is orthogonal to the vector 5hat j+2hat j+6hat k and is coplanar with vectors 2hat i+hat j+hat k and hat i-hat j+hat k is (2hat i-6hat j+hat k)/(sqrt(41)) b.(2hat i-3hat jmath)/(sqrt(13)) c.(3hat i-hat k)/(sqrt(10))d.(4hat i+3hat jmath-3hat k)/(sqrt(34))

The angle between the vectors (hat i + hat j + hat k) and ( hat i - hat j -hat k) is

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

Let m be the unit vector orthogonal to the vector hat(i)- hat(j)+ hat(k) and coplanar with the vectors 2 hat (i)+ hat(j) AND hat(j)- hat hat(k) , If a= hat(i)- hat(k) , then the length of the perpendicular from the origin to the plane r.m=a.m is