The components of the vector A :
<h3>Further explanation
</h3>
In the coordinates of the two-dimensional plane (xy) there is a position vector.
Two dimensions because the coordinates are only x and y, three dimensions if the coordinates are x, y, and z.
If there is a point P then
You can write P as:
<h3>P = xi + yi
</h3>
where i denotes the unit vector in the x and y directions
While the size of the vector:
and its direction
Each vector can be described in two perpendicular vectors
The first vector is a vector component on the x-axis (Fx) and the second vector is a vector component on the y-axis (Fy)
Using the principle rules of cosines and sines in triangles then:
<h3>Fx = F cos θ</h3><h3>Fy = F sin θ</h3>
The magnitude of a vector is always positive, while the angle formed (θ) can be both positive and negative depending on the quadrant (direction) of the vector in the Cartesian coordinate system
The components of the vector A with length a = 1.00 and angle α = 20° with respect to the x axis, so
The magnitude of vector A = 1
θ = 20
°
Then the components Ax and Ay
Ax = A cos θ
Ax = 1. cos 20
°
Ax = 0.940
Ay = A sin θ
Ay = 1 sin 20
°
Ay = 0.342
<h3>
Learn more
</h3>
velocity position
brainly.com/question/2005478
identify the components of a vector
brainly.com/question/8043832
mathematical statement matches the vector operation
brainly.com/question/10164712