To find the angle of a vector with respect to the positive x-axis, we can use the formula for the tangent of the angle, which is (y-component / x-component).

First, we calculate the tangent of the angle:

tan(θ) = y/x = -17.3 / -10 = 1.73

Then, we find the arctangent of this result to get the angle in radians:

θ = arctan(1.73)

Using a calculator, we find that θ ≈ 1.05 radians.

However, the question asks for the angle in degrees. To convert from radians to degrees, we multiply by (180/π):

θ = 1.05 * (180/π) ≈ 60 degrees

But since both components of the vector are negative, the vector is in the third quadrant. Therefore, we add 180 degrees to the result:

θ = 60 + 180 = 240 degrees

So, the angle of the vector with the positive x-axis is 240 degrees.

Question

To find the angle of a vector with respect to the positive x-axis, we can use the formula for the tangent of the angle, which is (y-component / x-component).

First, we calculate the tangent of the angle:

tan(θ) = y/x = -17.3 / -10 = 1.73

Then, we find the arctangent of this result to get the angle in radians:

θ = arctan(1.73)

Using a calculator, we find that θ ≈ 1.05 radians.

However, the question asks for the angle in degrees. To convert from radians to degrees, we multiply by (180/π):

θ = 1.05 * (180/π) ≈ 60 degrees

But since both components of the vector are negative, the vector is in the third quadrant. Therefore, we add 180 degrees to the result:

θ = 60 + 180 = 240 degrees

So, the angle of the vector with the positive x-axis is 240 degrees.

Knowee AI · Accepted Answer

To find the angle of a vector with respect to the positive x-axis, we can use the formula for the tangent of the angle, which is (y-component / x-component).

First, we calculate the tangent of the angle:

tan(θ) = y/x = -17.3 / -10 = 1.73

Then, we find the arctangent of this result to get the angle in radians:

θ = arctan(1.73)

Using a calculator, we find that θ ≈ 1.05 radians.

However, the question asks for the angle in degrees. To convert from radians to degrees, we multiply by (180/π):

θ = 1.05 * (180/π) ≈ 60 degrees

But since both components of the vector are negative, the vector is in the third quadrant. Therefore, we add 180 degrees to the result:

θ = 60 + 180 = 240 degrees

So, the angle of the vector with the positive x-axis is 240 degrees.

A vector has an x-component of -10 units, and a y-component of -17.3 units. What is its angle with positive x-axis?Group of answer choices240o1.05o120o181.05o60o

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