Two vectors a = 2i - 2j +k and b = 2i + j - k are given. Write the vector b as sum of vectors and such that is parallel to a and is perpendicular to a.Find the vectors and
Two vectors a = 2i - 2j +k and b = 2i + j - k are given. Write the vector b as sum of vectors and such that is parallel to a and is perpendicular to a.Find the vectors and
b = b1 + b2
Well b1 is parallel to a is the same as saying b1 = za.
b2 is perpendicular to a is same as saying b2 . a = 0.
From b = b1 + b2 we get, b.a = b1 . a = z |a|^2 you can get z and thus b1.