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If the vectors A = (2, 3) and B = (4, 5) are given, what is the scalar product A
If the vectors A = (2, 3) and B = (4, 5) are given, what is the scalar product A · B?
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Q1
If the vectors A = (2, 3) and B = (4, 5) are given, what is the scalar product A · B?
23
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A · B = 2*4 + 3*5 = 8 + 15 = 23.
Questions & Step-by-step Solutions
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Q
Q: If the vectors A = (2, 3) and B = (4, 5) are given, what is the scalar product A · B?
Solution:
A · B = 2*4 + 3*5 = 8 + 15 = 23.
Steps: 6
Show Steps
Step 1: Identify the components of vector A, which are 2 and 3.
Step 2: Identify the components of vector B, which are 4 and 5.
Step 3: Multiply the first component of A (which is 2) by the first component of B (which is 4). This gives you 2 * 4 = 8.
Step 4: Multiply the second component of A (which is 3) by the second component of B (which is 5). This gives you 3 * 5 = 15.
Step 5: Add the results from Step 3 and Step 4 together. So, 8 + 15 = 23.
Step 6: The scalar product A · B is 23.
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