What is the unit vector that is orthogonal to the plane containing # (3i + 2j - 3k) # and # (i -2j + 3k) #?
The answer is
We do a cross product to find the vector orthogonal to the plane
The vector is given by the determinant
Verification by doing the dot product
The vector is orthgonal to the other 2 vectors
The unit vector is obtained by dividing by the modulus
Thre unit vector is