Vector A is 13 cm at an angle of 90o to horizontal (positive x axis) and Vector B is 8 cm at an angle of 180o to horizontal. Arrange your vectors for the following three additions/subtractions, and then use a ruler to determine the approximate magnitude of the result. Include the ruler in your photograph if possible.A + BA - BB - ARecord the magnitudes in your lab notes and describe the direction of the three resulting vectors. Are all three resulting vectors identical? Explain.
Question
Vector A is 13 cm at an angle of 90o to horizontal (positive x axis) and Vector B is 8 cm at an angle of 180o to horizontal. Arrange your vectors for the following three additions/subtractions, and then use a ruler to determine the approximate magnitude of the result. Include the ruler in your photograph if possible.A + BA - BB - ARecord the magnitudes in your lab notes and describe the direction of the three resulting vectors. Are all three resulting vectors identical? Explain.
Solution
Sure, I can help you with that.
Step 1: Arrange the vectors for addition/subtraction: For the addition A + B, place the tail of vector B at the head of vector A. The resulting vector will be the vector from the tail of A to the head of B. For the subtraction A - B, place the tail of vector B at the head of vector A, but in the opposite direction. The resulting vector will be the vector from the tail of A to the tail of B. For the subtraction B - A, place the tail of vector A at the head of vector B, but in the opposite direction. The resulting vector will be the vector from the tail of B to the tail of A.
Step 2: Use a ruler to determine the approximate magnitude of the result: Measure the length of each resulting vector using a ruler. Make sure to align the ruler with the vector and measure from the tail to the head.
Step 3: Record the magnitudes and describe the direction of the resulting vectors: In your lab notes, write down the magnitudes of the resulting vectors for each addition/subtraction. Also, describe the direction of each resulting vector, whether it is in the positive or negative x-axis direction.
Step 4: Analyze the results: Compare the magnitudes and directions of the resulting vectors. Determine if all three resulting vectors are identical or not. If they have the same magnitude and direction, then they are identical. If not, explain the differences in your analysis.
Remember to include a photograph of your work, including the ruler, in your lab notes if possible.
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