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If the vector A = (2, 3) is scaled by a factor of 2, what is the resulting vecto
If the vector A = (2, 3) is scaled by a factor of 2, what is the resulting vector?
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Practice Questions
1 question
Q1
If the vector A = (2, 3) is scaled by a factor of 2, what is the resulting vector?
(4, 6)
(2, 3)
(1, 1.5)
(0, 0)
Show Solution
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Scaled vector = 2 * A = 2 * (2, 3) = (4, 6).
Questions & Step-by-step Solutions
1 item
Q
Q: If the vector A = (2, 3) is scaled by a factor of 2, what is the resulting vector?
Solution:
Scaled vector = 2 * A = 2 * (2, 3) = (4, 6).
Steps: 6
Show Steps
Step 1: Identify the original vector A, which is (2, 3).
Step 2: Determine the scaling factor, which is 2.
Step 3: Multiply each component of the vector A by the scaling factor.
Step 4: Calculate the new x-component: 2 * 2 = 4.
Step 5: Calculate the new y-component: 2 * 3 = 6.
Step 6: Combine the new components to form the resulting vector: (4, 6).
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