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If u = (1, 2) and v = (3, 4), what is the dot product u · v?
If u = (1, 2) and v = (3, 4), what is the dot product u · v?
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Q1
If u = (1, 2) and v = (3, 4), what is the dot product u · v?
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Dot product u · v = 1*3 + 2*4 = 3 + 8 = 11.
Questions & Step-by-step Solutions
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Q: If u = (1, 2) and v = (3, 4), what is the dot product u · v?
Solution:
Dot product u · v = 1*3 + 2*4 = 3 + 8 = 11.
Steps: 6
Show Steps
Step 1: Identify the components of vector u, which are 1 and 2.
Step 2: Identify the components of vector v, which are 3 and 4.
Step 3: Multiply the first component of u (1) by the first component of v (3). This gives you 1 * 3 = 3.
Step 4: Multiply the second component of u (2) by the second component of v (4). This gives you 2 * 4 = 8.
Step 5: Add the results from Step 3 and Step 4 together. This gives you 3 + 8 = 11.
Step 6: The final result, which is the dot product u · v, is 11.
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