Find the unit vector perpendicular to the plane ` vec rdot(2 hat i+ hat j+2 hat k)=5.`

Find the direction cosines of the unit vector perpendicular to the plane -> rdot(6 hat i-3 hat j-2 hat k)+1=0 passing through the origin.

Find the unit vector perpendicular the plane rcdot(2hat(i)+hat(j)+2hat(k))=5 .

Find the vector equation of the line through the origin which is perpendicular to the plane vec rdot(( hat i+2 hat j+3 hat k)=3.

Find the vector equation of the plane which contains the line of intersection of the plane vec rdot( hat i+2 hat j+3 hat k)-\ 4=0 and vec rdot(2 hat i+ hat j- hat k)+5=0 and which is perpendicular to the plane vec rdot(5 hat i+3 hat j-\ 6 hat k)+8=0.

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

Find the direction cosines of perpendicular from the origin to the plane vec rdot(2 hat i-3 hat j-6 hat k)+5=0.

Write the plane vec rdot((2 hat i+3 hat j-6 hat k)=14 in normal form.

Find a unit vector perpendicular to the plane containing the vectors vec a=2 hat i+ hat j+ hat k\ a n d\ vec b= hat i+2 hat j+ hat kdot

Find a unit vector perpendicular to both the vectors 4 hat i- hat j+3 hat k\ a n d-2 hat i+ hat j-2 hat kdot

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