The unit vectors parallel to the resultant vectors of `2hat(i)+4hat(j)-5hat(k) and hat(i)+2hat(j)+3hat(k)` is

What is the value of b such that the scalar product of the vector hat(i) + hat(j) + hat(k) with the unit vector parallel to the sum of the vectors 2hat(i) + 4hat(j)-5hat(k) and b hat(i) + 2hat(j) + 3hat(k) is unity ?

What is the value of b such that the scalar product of the vector hat(i)+hat(j)+hat(k) with the unit vector parallel to the sum of the vectors 2hat(i)+4hat(j)-5 hat(k) and b hat(i)+2hat(j)+3hat(k) is unity ?

The unit vector parallel to the resultant of the vectors vec(A)= 4hat(i)+3hat(j)+6hat(k) and vec(B)= -hat(i)+3hat(j)-8hat(k) is

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

The two vectors A=2hat(i)+hat(j)+3hat(k) and B=7hat(i)-5hat(j)-3hat(k) are :-

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

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