5. Relative to the origin \(O\), the points \(A , B\) and \(C\) have position vectors \(4 \mathbf { i } + 2 \mathbf { j } , 3 \mathbf { i } + 4 \mathbf { j }\) and \(- \mathbf { i } + 12 \mathbf { j }\), respectively.
- Find the magnitude of the vector \(\overrightarrow { O C }\)
- Find the angle that the vector \(\overrightarrow { O B }\) makes with the vector \(\mathbf { j }\) to the nearest degree
- Show that the points \(A\), \(B\) and \(C\) are collinear
[0pt]
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