Question

find unit vector perpendicular to each of the vectors a +b and a -b where a =i +j+k ;b =i+2j+3k

Answer 1

We know cross product of two vectors gives the vector which is perpendicular to both the vectors.A⃗ = 2iˆ + kˆB⃗ = iˆ − jˆ + 2kˆlet C⃗ is perpendicular to both the vectors.C⃗ = A⃗ × B⃗ = (2iˆ + kˆ)×(iˆ − jˆ + 2kˆ)= iˆ − 3jˆ − 2kˆ