Find a unit vector perpendicular to each one of the vectors `vec(a) = 4 hat(i) - hat (j) + 3hat(k)` and `vec(b) = 3 hat(i) + 2 hat(j) - hat(k)`.

Find a unit vector perpendicular to each one of the vectors vec(a)= ( 4 hat(i) - hat(j)+ 3 hat(k)) and vec(b)=(2hat(i) + 2 hat(j)- hat(k)).

Find the unit vectors perpendicular to the plane of the vectors vec(a) = 2 hat(i) - 6 hat(j)- 3 hat(k) and vec(b)= 4 hat(i) + 3 hat(j) - hat(k).

Find a vector of magnitude 6 which is perpendicular to both the vectors vec(a)= 4 hat(i)-hat(j) + 3 hat(k) and vec(b) = -2 hat(i) + hat(j)- 2 hat(k).

The unit vector parallel to the resultant of the vectors vec(A) = hat(i) + 2 hat(j) - hat(k) and vec(B) = 2 hat(i) + 4 hat(j) - hat(k) is

Find the unit vectors perpendicular to both vec(a) and vec(b) when (i) vec(a) = 3 hat(i)+hat(j)-2 hat(k) and vec(b)= 2 hat(i) + 3 hat(j) - hat(k) (ii) vec(a) = hat(i) - 2 hat(j) + 3 hat(k) and vec(b)= hat(i) +2hat(j) - hat(k) (iii) vec(a) = hat(i) + 3 hat(j) - 2 hat (k) and vec(b)= -hat(i) + 3 hat(k) (iv) vec(a) = 4 hat(i) + 2 hat(j)-hat(k) and vec(b) = hat(i) + 4 hat(j) - hat(k)

A unit vector perpendicular to each of the vectors 2hat(i) - hat(j) + hat(k ) and 3hat(i) - 4hat(i) - hat(k) is

Find a unit vector perpendicular to the lane containing the vectors vec a=2hat i+hat j+hat k and vec b=hat i+2hat j+hat k

The vector component of vector vec(A) = 3 hat(i) + 4 hat(j) + 5 hat(k) along vector vec(B) = hat(i) + hat(j) + hat(k) is

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

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