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If the vector a = (3, 4) is scaled by a factor of 2, what is the new vector?
If the vector a = (3, 4) is scaled by a factor of 2, what is the new vector?
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Practice Questions
1 question
Q1
If the vector a = (3, 4) is scaled by a factor of 2, what is the new vector?
(6, 8)
(3, 4)
(1.5, 2)
(0, 0)
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New vector = 2 * (3, 4) = (6, 8).
Questions & Step-by-step Solutions
1 item
Q
Q: If the vector a = (3, 4) is scaled by a factor of 2, what is the new vector?
Solution:
New vector = 2 * (3, 4) = (6, 8).
Steps: 6
Show Steps
Step 1: Identify the original vector, which is a = (3, 4).
Step 2: Determine the scaling factor, which is 2.
Step 3: Multiply each component of the vector by the scaling factor. This means you will multiply 3 by 2 and 4 by 2.
Step 4: Calculate 3 * 2 = 6.
Step 5: Calculate 4 * 2 = 8.
Step 6: Combine the results to form the new vector, which is (6, 8).
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