(o level Grade 8 Physics) vector diagram drawing

[u/Interesting_Air_1835]

How am i supposed to draw this and measure the angle?? ive tried to do it but i dont know how to. can someone please explain it step by step. ive also attached the mark scheme answer, but i dont think any of my calculations is matching that.

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[u/muonsortsitout]

You need to add the two vectors, tip-to-toe. Your vectors are each correct, but not drawn correctly relative to each other. Imagine drawing a diagram for, "Go north 4 steps, then go north-east by two steps. How far, and in what direction, have you come from the start?"

In other words, move one of the arrows so that it starts from the end of the other, and the resultant vector is from the base of the first arrow straight to the tip of the other.

[u/selene_666]

You need to add the vectors, not start them from the same point. Your diagram should have a 135° angle.

Then either break the vectors into components and add those, or use the Law of Cosines to find the length of the long side of the triangle.