Question

Verify the length of the x and y components of the resultant vector f by adding the x components of vector d and vector e together. Add the y components of vector d and e together. First you will need to resolve vector d into components

Answer 1

Given

Vector d

Vector e

Procedure

First let's decompose the vectors d and e into their x and y components.

For vector d its components are as follows:

dx = 5

dy = 0

For the vector e its components are as follows:

ex = 5.7

ey = 5.7

Now we add component to component:

dx + ex = 10.7

dy + ey = 5.7

The resultant vector f would be:

fx = 10.7

fy = 5.7

The magnitude of the vector is equal to the hypotenuse of the triangle so you can use the Pythagorean theorem to calculate it. Rearrange the Pythagorean theorem to calculate the magnitude. The Pythagorean theorem is A2 + B2 = C2.

The magnitude of f would be 12.1