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 (a) scalar component and (b) vector component of vec(A) = 3 hat(i) + 4 hat(j) + 5 hat(k) on vec(B) = hat(i) + hat(j) + hat(k) .

The projection of the vector vec( a) = 2 hat(i) - hat(j) +hat(k) along the vector vec(b) = hat(i) + 2 hat(j)+ 2hat(k) is

Unit vectors perpendicular to the plane of vectors vec(a) = 2 hat(*i) - 6 hat(j) - 3 hat(k) and vec(b) = 4 hat(i) + 3 hat(j) - hat(k) are

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

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 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).

The number of unit vectors perpendicular to the vector vec(a) = 2 hat(i) + hat(j) + 2 hat(k) and vec(b) = hat(j) + hat(k) is

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 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).