Express the vector v as the sum of a vector parallel to b and a vector orthogonal to b.

a) v=2i−4j, b=i+j,

b) v=3i+j−2k, b=2i−k,

c) v=4i−2j+6k, b=−2i+j−3k

Express the vector v as the sum of a vector parallel to b and a vector orthogonal to b.

a) v=2i−4j, b=i+j,

b) v=3i+j−2k, b=2i−k,

c) v=4i−2j+6k, b=−2i+j−3k