What vector must be added to the two vectors `hat i+2hat j-hat k` and `hat i-hat j+2hat k` so that the resultant may be unit vector along Y-axis?

What vector must be added to the sum of two vectors 2hat(i)-hat(j)+3hat(k)and3hat(i)-2hat(j)-2hat(k). So that the resultant is a unit vector alongZ-axis?

Find the vector that must be added to the vector hat(i)-3hat(j)+2hat(k) and 3hat(i)+6hat(j)-7hat(k) so that the resultant vector is a unit vector along the y-axis.

Find a unit vector perpendicular to both the vectors hat i-2hat j+3hat k and hat i+2hat j-hat k

The angle between the vectors (hat i + hat j + hat k) and ( hat i - hat j -hat k) is

overset(rarr)A is a vector which when added to the resultant of vectors (2 hat i - 3 hat j + 4 hat k) and (hat i+5 hat j +2 hat k) yields a unit vector along the y axis then vector overset(rarr)A is :

Two vectors P=2hat I +bhat j +2hat k and Q=hat i+hat j+hat k will be parallel if :

A unit vector which is perpendicular to hat i+2hat j-2hat k and to -hat i+2hat j+2hat k is

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

Dine the unit vector peroendicular to each of the vectors 3 hat i+ hat j 2 hat k and 2 hat i- 2 hat j = 4 hat k .

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