Question

There are two vectors with magnitudes of 10 and 17 and an angle of28 degrees between them, What is the magnitude of the resulting vector?

Answer 1

The magnitude of the resulting vector = 14

Explanation:

Let say the magnitude of vector A = 10 and the magnitude of vector B = 17

The angle between them is 28°.

Then, that will form a triangle.

Let name the magnitude of the resulting vector to be C.

SO, by using Pythagoras rule:

hypotenuse² = opposite² + adjacent²

17² = 10² + C²

17² - 10² = C²

289 - 100 = C²

189 = C²

C =
`√(189)`

C = 13.75

C ≅ 14