Find all vectors of magnitude `10sqrt(3)` that are perpendicular to the plane ` hat i+2 hat j+ hat k\ a n d- hat i+3 hat j+4 hat kdot`

Find all vectors of magnitude 10sqrt(3) that are perpendicular to the plane of hat(i)+2hat(j)+hat(k) and -hat(i)+hat(j)+4hat(k) .

Find a vector of mangitude 18 which is perpendicular to both the vector 4 hat i - hat j + 3 hat k and -2 hat i + hat j -2 hat k .

Find a vector of magnitude sqrt(171) which is perpendicular to both of the vectors vec a= hat i+2 hat j-3 hat k\ a n d\ vec b=3 hat i- hat j+2 hat kdot

The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and vec B = hat i - hat j + hat k is

Find a vector of magnitude 9, which is perpendicular to both vectors 4hat i-hat j+3hat k and -2hat i+hat j-2hat k

Find a vector of magnitude 49, which is perpendicular to both the vectors 2hat i+3hat j+6hat k and 3hat i-6hat j+2hat k

Write a unit vector perpendicular to hat i+ hat j\ a n d\ hat j+ hat kdot

Find a vector of magnitude 15, which is perpendicular to both the vectors (4hat(i) -hat(j)+8hat(k)) and (-hat(j)+hat(k)).

Find a vector of magnitude 7 units, which is perpendicular to two vectors : 2hat(i)-hat(j)+hat(k) and hat(i)+hat(j)-hat(k) .

Find the equation of the line passing through the point hat i+ hat j- hat k and perpendicular to the lines vec r= hat i+lambda(2 hat i+ hat j-3 hat k)a n d vec r=(2 hat i+ hat j- hat k)dot