The units vectors orthogonal to the vector `- hat i + 2hat j + 2hat k` and making equal angles with the X and Y axes islare) :

The unit vector orthogonal to vector hat i+hat j+2hat k and making equal angles with the x and y -axis a.t (1)/(3)(2hat i+2hat j-hat k) b.+-(1)/(3)(hat i+hat j-hat k) c.+-(1)/(3)(2hat i-2hat j-hat k) d. none of these

The unit vector orthogonal to vector -hat i+ hat j+2 hat k and making equal angles with the x and y-axis a. +-1/3(2 hat i+2 hat j- hat k) b. +-1/3( hat i+ hat j- hat k) c. +-1/3(2 hat i-2 hat j- hat k) d. none of these

The unit vector orthogonal to vector hat i+ hat j+2 hat k and making equal angles with the x and y-axis a. +-1/3(2 hat i+2 hat j- hat k) b. +-1/3( hat i+ hat j- hat k) c. +-1/3(2 hat i-2 hat j- hat k) d. none of these

The unit vector orthogonal to vector -hat i+ hat j+2 hat k and making equal angles with the x and y-axis a. +-1/3(2 hat i+2 hat j- hat k) b. +-1/3( hat i+ hat j- hat k) c. +-1/3(2 hat i-2 hat j- hat k) d. none of these

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

Unit vector along the vector hat(i) + hat(j) + hat(k) is

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

The unit vector in the direction of the sum of vectors hat i + hat j + hat k and 2 hat i + 3 hat j + 4 hat k is

The unit vector perpendicular to both the vectors a=hat i+hat j+hat k and b=2hat i-hat j+3hat k and making an acute angle with the vector k is