Question

Find the horizontal and vertical components of the vector with the given length and direction, and write the vector in terms of the vectors i and j. (Round your coefficients to three decimal places.)

|| = 500, = 125°

Answer 1

To find the horizontal and vertical components of a vector, use the formulas Ax = cos(θ) and Ay = sin(θ), where A is the magnitude of the vector and θ is the angle it makes with the positive x-axis.

Step-by-step explanation:

To find the horizontal and vertical components of a vector, we can use the formulas Ax = cos(θ) and Ay = sin(θ), where A is the magnitude of the vector and θ is the angle it makes with the positive x-axis.

In this case, the length of the vector is 500 and the direction is 125°. Therefore, the horizontal component is Ax = 500*cos(125°) and the vertical component is Ay = 500*sin(125°).

The vector can be written in terms of the vectors i and j as A = Ax*i + Ay*j.