Find a unit vector perpendicular to each of the vectors `( -> a+ -> b)` and `( -> a- -> b)` , where ` -> a= hat i+ hat j+ hat k , -> b= hat i+2 hat j+3 hat k` .

Find the unit vector perpendicular to both the vectors vec(a) + vec(b) and vec(a) - vec(b) where vec(a) = hat(i) + hat(j) + hat(k) and vec(b) = hat(i) + 2hat(j) + 3hat(k) .

Find the unit vector perpendicular to each of the vectors vec(a)+vec(b)" and "vec(a)-vec(b)" where "vec(a)=3hat(i)+2hat(j)+2hat(k)" and "vec(b)=hat(i)+2hat(j)-2hat(k) .

Find the unit vector perpendicular to the plane ABC where the position vectors A, B and C are 2hat(i) - hat(j) + hat(k), hat(i) + hat(j) + 2hat(k) and 2hat(i) + 3hat(k) .

The unit vector perpendicular to the vectors hat(i) -hat(j) + hat(k), 2hat(i) + 3hat(j) -hat(k) is

Write a unit vector in the direction of the sum of vectors vec(a) = 2hat(i) - hat(j) + 2hat(k) and vec(b) = -hat(i) + hat(j) + 3hat(k) .

Write a unit vector in the direction of the sum of vectors vec(a) = 2hat(i) + 2hat(j) - 5hat(k) and vec(b) = 2hat(i) + hat(j) - 7hat(k) .

Find unit vector in which the direction of vector vec a = 2 hat i + 3 hat j + hat k .

Find a unit vector in the direction of vec(A) = 3hat(i) - 2hat(j) + 6hat(k) .

Find the angle between the vectors vec(a) = hat(i) + hat(j) + hat(k) and vec(b) = hat(i) - hat(j) + hat(k) .