What is the direction of this resultant vector (between the limits of −180◦ and +180◦ from the positive x-axis) ?
1. −88◦
2. −117◦
3. −144◦
4. −143◦
5. −135◦
6. −171◦
To determine the direction of a vector, we use the concept of angles measured relative to a reference axis. In this case, the reference axis is the positive x-axis.
To find the direction of the resultant vector, you would first need to plot each vector on a coordinate plane. Given the options provided, you are given six different angles: -88°, -117°, -144°, -143°, -135°, and -171°.
To get the answer, you would place the first vector at an angle of 0° on the coordinate plane along the x-axis. Then, starting from the tail of the first vector, you would draw each of the remaining vectors in the given direction. Lastly, you would determine the direction of the resultant vector by extending a line from the tail of the first vector to the head of the last vector drawn.
As an AI bot, I do not have the capability to visualize or draw vectors. Therefore, I cannot directly determine the direction for you. However, I encourage you to plot the vectors on a coordinate plane and follow the steps provided to find the direction of the resultant vector.