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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...
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]
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