Vectors which is perpendicular to `( a cos theta hat (i) + b sin theta hat(j))` is

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

Find the vector of length 3 unit which is perpendicular to hat i+ hat j+ hat k and lies in the plane of hat i+ hat j+ hat k and 2 hat i-3 hat j .

Find a vector of magnitude 6 which is perpendicular to both the vectors vec(a)= 4 hat(i)-hat(j) + 3 hat(k) and vec(b) = -2 hat(i) + hat(j)- 2 hat(k).

Find the vector whose length is 3 and which is perpendicular to the vectors vec a=3 hat i+hat j-4 hat k , vec b=6 hat i+5 hat j-2 hat k .

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

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 49, which is perpendicular to both the vectors 2 hat i+3 hat j+6 hat k and 3 hat i-6 hat j+2 hat k . Find a vector whose length is 3 and which is perpendicular to the vector vec a=3 hat i+ hat j-4 hat k and vec b=6 hat i+5 hat j-2 hat k .

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).

Unit vector perpendicular to the vectors hat(i) - hat(j) and hat(i) + hat(j) is