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Worksheet: Resultant Vector Using the Parallelogram Method and the Triangle Method

Q1:

The figure shows two vectors, v and u , where โ€– โ€– = 5 v and โ€– โ€– = 7 u . Use the parallelogram method to find the magnitude of the resultant of these two vectors. Give your answer to two decimal places.

Q2:

The two vectors, v and u , are shown in the diagram.

The following parallelogram is drawn based on the two vectors v and u .

Using the properties of parallelograms, find ๐œƒ .

Given that v = 1 3 and u = 1 1 , use the cosine rule to find the magnitude of v u + . Give your answer to two decimal places.

Q3:

Given that , , and , determine , rounded to two decimal places.