Find unit vector perpendicular to both `bar(i) + bar(j) + bar(k) and 2bar(i) + bar(j) + 3bar(k)`.

The unit vector perpendicular to both of the vectors 2bar(i)-bar(j)+bar(k) and 3bar(i)+4bar(j)-bar(k) is.

If bar(a) = 2bar(i) - 3bar(j) + 5bar(k), bar(b) = -bar(i) + 4bar(j) + 2bar(k) then find bar(a) xx bar(b) and unit vector perpendicular to both bar(a), bar(b) [-26bar(i) - 9bar(j) + 5bar(k), +- 1/(sqrt(782))26bar(i)+9bar(j)-5bar(k)) .

Find a vector of magnitude 6, which is perpendicualr to both the vectors 2bar(i)-bar(j)+2bar(k) and 4bar(i)-bar(j)+3bar(k) .

If bar(a)=bar(i)+bar(j)+bar(k) , bar(b)=bar(i)+2bar(j)+3bar(k) then a unit vector perpendicular to both vectors (bar(a)+bar(b)) and (bar(a)-bar(b)) is

The number of vectors of unit length perpendicular to the vectors bar(a)=2bar(i)+bar(j)+2bar(k) and bar(b)=bar(j)+bar(k) is ………….

Find a unit vector perpendicular to the plane containing the vector bar(a) = 4bar(i) + 3bar(j) - bar(k), bar(b) = 2bar(i) - 6bar(j) - 3bar(k)

If bar(a)= 2bar(i) - 3bar(j) + 5bar(k), bar(b)= - bar(i) + 4bar(j)+ 2bar(k) then find (bar(a) + bar(b)) xx (bar(a) - bar(b)) and unit vector perpendicular to both bar(a) + bar(b) " & " bar(a)- bar(b) .

Find the unit vector in the direction of the sum of the vectors bar(a) = 2bar(i)+ 2bar(j) - 5bar(k) and bar(b) = 2bar(i) + bar(j) + 3bar(k) .

The vector bar(c) is perpendicular to both bar(a)=(bar(i)-2bar(j)+bar(k)),bar(b)=(2bar(i)+bar(j)-bar(k)),bar(c) also satisfies , |bar(c)times(bar(i)-bar(j)+bar(k))|=2sqrt(6) then bar(c)=