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 vec 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 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).

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 a unit vector perpendicular to the vectors hat(j) + 2 hat(k) & hat(i) + hat(j)

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 lane containing the vectors vec a=2hat i+hat j+hat k and vec b=hat i+2hat j+hat k

Find the vector equation of plane passing through the points 2hat i+hat j-hat k and -hat i+3hat j+4hat k and perpendicular to the plane vec r*(hat i-2hat j+4hat k)=10

Determine a unit vector whoch is perpendicular to both vec A =2 hat I + hat j + hat k and vec B = hat I - hat j +2 hat k .