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If A = 3i + 4j and B = 2i - j, what is A + B? (2021)
If A = 3i + 4j and B = 2i - j, what is A + B? (2021)
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Practice Questions
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Q1
If A = 3i + 4j and B = 2i - j, what is A + B? (2021)
5i + 3j
5i + 5j
1i + 5j
1i + 3j
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A + B = (3i + 4j) + (2i - j) = (3 + 2)i + (4 - 1)j = 5i + 3j.
Questions & Step-by-step Solutions
1 item
Q
Q: If A = 3i + 4j and B = 2i - j, what is A + B? (2021)
Solution:
A + B = (3i + 4j) + (2i - j) = (3 + 2)i + (4 - 1)j = 5i + 3j.
Steps: 5
Show Steps
Step 1: Identify the vectors A and B. A = 3i + 4j and B = 2i - j.
Step 2: Write down the expression for A + B. It is (3i + 4j) + (2i - j).
Step 3: Combine the i components. Add 3 (from A) and 2 (from B) to get 5i.
Step 4: Combine the j components. Add 4 (from A) and -1 (from B, since -j is -1j) to get 3j.
Step 5: Write the final result. A + B = 5i + 3j.
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