Question

If vector a and vector b are vectors in space given by vector a = ((i - 2j)/√5)b and vector b = (2i + j + 3k)/√14 then the value of vector((2a + b) x [(a x b) x (a - 2b)](2a + b) x [(a x b) x (a - 2b)]) is

Answer 1

= 4|a|² + |b|²

= 4 + 1 = 5