Question

What is the x component of a vector that is defined as
45m at -35°?

Answer 1

the x- component of the vector is 36.86 m.

What is a vector?

Vectors are quantities that have both magnitude and direcion

To calculate the x-component of the vector, we use the formula below.

Formula:

• dx = dcosθ.......... Equation 1

Where;

• dx = x-component of the vector
• d = vector between the x-y component
• θ = Angle of the vector to the horizontal.

From the question,

Given:

• d = 45 m
• θ = -35°

Substitute these values into equation 1

• dx = 45cos(-35°)
• dx = 45×0.918
• dx = 36.86 m.

Hence, the x- component of the vector is 36.86 m.

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