Vectors intro

A boat is traveling at a speed of $50$50 kilometers per hour, in a direction that is $45\degree$45, degree to the west from the northward direction.

Here are a few vectors, where $||\vec a||=||\vec b||=||\vec c||=||\vec d||=50\,\dfrac{\text{km}}{\text{h}}$vertical bar, vertical bar, a, with, vector, on top, vertical bar, vertical bar, equals, vertical bar, vertical bar, b, with, vector, on top, vertical bar, vertical bar, equals, vertical bar, vertical bar, c, with, vector, on top, vertical bar, vertical bar, equals, vertical bar, vertical bar, d, with, vector, on top, vertical bar, vertical bar, equals, 50, start fraction, start text, k, m, end text, divided by, start text, h, end text, end fraction: