Calculate the Given Quantities If $\mathbf { a } = \mathbf { i } - 5 \mathbf { j }$

Short Answer

Calculate the given quantities if $\mathbf { a } = \mathbf { i } - 5 \mathbf { j }$ and $\mathbf { b } = - 5 \mathbf { j } + 2 \mathbf { k }$
I. $\mathbf { a } \cdot \mathbf { b }$
ㅍ. $\mathbf { a } \times \mathbf { b }$
III. The angle between $\mathbf { a }$ and $\mathbf { b }$ (correct to the nearest degree)