Question: If I = (1, 1, 1) and J = (2, 2, 2), what is the scalar product I · J?
Options:
3
4
5
6
Correct Answer: 6
Solution:
I · J = 1*2 + 1*2 + 1*2 = 2 + 2 + 2 = 6.
If I = (1, 1, 1) and J = (2, 2, 2), what is the scalar product I · J?
Practice Questions
Q1
If I = (1, 1, 1) and J = (2, 2, 2), what is the scalar product I · J?
3
4
5
6
Questions & Step-by-Step Solutions
If I = (1, 1, 1) and J = (2, 2, 2), what is the scalar product I · J?
Step 1: Identify the components of vector I, which are (1, 1, 1).
Step 2: Identify the components of vector J, which are (2, 2, 2).
Step 3: Multiply the first components of I and J: 1 * 2.
Step 4: Multiply the second components of I and J: 1 * 2.
Step 5: Multiply the third components of I and J: 1 * 2.
Step 6: Add the results from Step 3, Step 4, and Step 5 together: 2 + 2 + 2.
Step 7: Calculate the final sum: 2 + 2 + 2 = 6.
Scalar Product – The scalar product (or dot product) of two vectors is calculated by multiplying their corresponding components and summing the results.
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