5 The vectors \(\mathbf { a }\) and \(\mathbf { b }\) are given by
$$\mathbf { a } = 3 \mathbf { i } + 4 \mathbf { j } - 2 \mathbf { k } \quad \text { and } \quad \mathbf { b } = 2 \mathbf { i } - \mathbf { j } - 5 \mathbf { k }$$
5
- Calculate a.b
5
- \(\quad\) Calculate \(| \mathbf { a } |\) and \(| \mathbf { b } |\)
\(| \mathbf { a } | =\) \(\_\_\_\_\)
5 - Calculate the acute angle between \(\mathbf { a }\) and \(\mathbf { b }\)
Give your answer to the nearest degree.