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calculate the x- component of the vector a = 12 n at 60°. (write the value in newtons, but do not write the units)

User FrankO
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Final answer:

The x-component of the vector a = 12 N at 60° is calculated using the cosine function, yielding a result of 6 N.

Step-by-step explanation:

To calculate the x-component of the vector a = 12 N at 60°, we use the cosine function as the x-component is adjacent to the angle in the right triangle formed by the vector and its components. The formula to find the x-component (Ax) is:

Ax = A * cos(θ)

Substitute A = 12 N and θ = 60° into the formula:

Ax = 12 * cos(60°)

Since cos(60°) = 0.5, the calculation will be:

Ax = 12 * 0.5

Ax = 6

Therefore, the x-component of the vector is 6 N. This process, based on trigonometric principles, isolates and calculates the vector's horizontal influence.

User Elynch
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