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What is the dot product of vectors (1, 2) and (3, 4)?
What is the dot product of vectors (1, 2) and (3, 4)?
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Q1
What is the dot product of vectors (1, 2) and (3, 4)?
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Dot product = 1*3 + 2*4 = 3 + 8 = 11
Questions & Step-by-step Solutions
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Q: What is the dot product of vectors (1, 2) and (3, 4)?
Solution:
Dot product = 1*3 + 2*4 = 3 + 8 = 11
Steps: 5
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Step 1: Identify the two vectors. The first vector is (1, 2) and the second vector is (3, 4).
Step 2: Multiply the first component of the first vector (1) by the first component of the second vector (3). This gives you 1 * 3 = 3.
Step 3: Multiply the second component of the first vector (2) by the second component of the second vector (4). This gives you 2 * 4 = 8.
Step 4: Add the results from Step 2 and Step 3 together. So, 3 + 8 = 11.
Step 5: The final result, which is the dot product of the vectors (1, 2) and (3, 4), is 11.
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