Find the magnitude and direction of the resultant R of the three vectors shown in figure 1.3. The vectors have the following magnitudes: A=5.0, B=7.9, and C=8.0. Express the direction of the vector sum by specifying the angle it makes with the positive x-axis, with the counterclockwise angles taken to be positive.
Hmmmm. figure 1.3?
can you solve it with figure 1.3?
we do not have your figure.
the site won't allow me to post the figure.
To find the magnitude and direction of the resultant vector, we can use vector addition.
Step 1: Draw the vectors
First, draw each vector with the correct magnitude and direction. In this case, we have three vectors A, B, and C. Label them accordingly.
Step 2: Add the vectors graphically
To find the resultant vector, we add the vectors graphically by placing the tail of each vector at the tip of the previous vector. Connect the tail of the first vector to the tip of the last vector. This resulting vector is the resultant vector R.
Step 3: Measure the magnitude of the resultant vector
To find the magnitude of the resultant vector, use a ruler to measure the length of the resultant vector R on the graph or on the paper. Record this value.
Step 4: Determine the direction of the resultant vector
To determine the direction of the resultant vector, measure the angle it makes with the positive x-axis. Measure the angle counterclockwise from the positive x-axis to the direction of the resultant vector. Record this angle.
Step 5: Express the magnitude and direction of the resultant vector
Now that you have the magnitude and direction of the resultant vector, you can express it in the required format. Write the magnitude and direction of the resultant vector as:
R = magnitude of the resultant vector
θ = angle with the positive x-axis
For example, if the magnitude of the resultant vector is R = 10.0 units and the angle with the positive x-axis is θ = 45 degrees, you would write:
R = 10.0 units
θ = 45 degrees
Using the graphical method of vector addition, follow these steps to find the magnitude and direction of the resultant vector R of the three vectors A, B, and C. Then express the direction of the vector sum by specifying the angle it makes with the positive x-axis, with the counterclockwise angles taken to be positive.