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If A = 2i + 3j and B = 4i + 5j, what is the resultant vector A + B?
Practice Questions
Q1
If A = 2i + 3j and B = 4i + 5j, what is the resultant vector A + B?
6i + 8j
2i + 3j
4i + 5j
8i + 10j
Questions & Step-by-Step Solutions
If A = 2i + 3j and B = 4i + 5j, what is the resultant vector A + B?
Steps
Concepts
Step 1: Identify the components of vector A, which are 2i and 3j.
Step 2: Identify the components of vector B, which are 4i and 5j.
Step 3: Add the i components of A and B together: 2i + 4i = 6i.
Step 4: Add the j components of A and B together: 3j + 5j = 8j.
Step 5: Combine the results from Step 3 and Step 4 to get the resultant vector: 6i + 8j.
Vector Addition
– Understanding how to add vectors by combining their respective components.
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