Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Vector A is 12.4 cm long and is pointing in a direction which is 73.0 degrees from the positive axis, measured in a counter-clockwise direction. Vector B is 15.1 cm long and is pointing in a direction which is 156.0 degrees from the positive axis, measured in a counter-clockwise direction. Calculate the x and y components of these vectors.

Sagot :

Answer:

Explanation:

I will ASSUME you mean the positive X axis.

Ax = 12.4cos73.0  = 3.6254...

Ay = 12.4sin73.0   = 11.8581...

Bx = 15.1cos156.0 = -13.7945...

By = 15.1sin156.0  = 6.1417...

onyebuchinnaji

The x components of vector A is 3.62 cm and the  y components of vector A is 11.85 cm

The x components of vector B is -13.79 cm and the  y components of vector B is 6.14 cm

The given parameters;

length of vector A = 12.4 cm

length of vector B = 15.1 cm

angle of  vector A from the positive x-axis = 73⁰

angle of  vector B from the positive x-axis = 156⁰

To find:

  • the  x and y components of these vectors

The x components of vector A:

[tex]A_x = A \times cos (\theta)\\\\A_x = 12.4 \ cm \times \ cos (73)\\\\A_x = 3.62 \ cm[/tex]

The y components of vector A:

[tex]A_y = A \times sin (\theta)\\\\A_y = 12.4 \ cm \times \ sin (73)\\\\A_y =11.85 \ cm[/tex]

The x components of vector B:

[tex]B_x = B \times cos (\theta)\\\\B_x = 15.1 \ cm \times \ cos (156)\\\\B_x = -13.79 \ cm[/tex]

The y components of vector B:

[tex]B_y = B \times sin (\theta)\\\\B_y = 15.1 \ cm \times \ sin (156)\\\\B_y = 6.14 \ cm[/tex]

Learn more here: https://brainly.com/question/11234810

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.