Question

What is the x-component of a vector that makes an angle of 45° with the positive x-axis and whose y-component is 7cm?

Answer 1

Ax =7 cm

Step-by-step explanation:

Analysis:

Let A be the vector of rectangular components Ax and Ay:

Where:

Ay=7 cm : The The y-component of vector A-component of vector A

α =45 : Angle of A with the positive x-axis

Ax : The x-component of vector A

Because Ax and Ay are the components of a right triangle we apply the following formula:

`tan\alpha =(A_(y) )/(A_(x) )`

`tan45=(7)/(A_(x) )`

`A_(x) =(7)/(tan45)`

Ax =7 cm