If | vector a x vector b|^2 + | vector a . vector b|^2 = 144

Question

Fill in the blanks:

If \(| \vec a \times \vec b|^2 + | \vec a . \vec b|^2 = 144\) and \(| \vec a | = 4\) then \(| \vec b | \) is equal to ________.

Answer 1

If \(| \vec a \times \vec b|^2 + | \vec a . \vec b|^2 = 144\) and \(| \vec a | = 4\) then \(| \vec b | \) is equal to 3.