What is the resultant of the vectors (2, 3) and (-1, 4)?

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Question: What is the resultant of the vectors (2, 3) and (-1, 4)?

Options:

Correct Answer: (1, 7)

Solution:

Resultant = (2 + (-1), 3 + 4) = (1, 7).

What is the resultant of the vectors (2, 3) and (-1, 4)?

What is the resultant of the vectors (2, 3) and (-1, 4)?

Step 1: Identify the first vector, which is (2, 3). This means it has an x-component of 2 and a y-component of 3.
Step 2: Identify the second vector, which is (-1, 4). This means it has an x-component of -1 and a y-component of 4.
Step 3: To find the resultant vector, add the x-components of both vectors together: 2 + (-1).
Step 4: Calculate the x-component: 2 + (-1) = 1.
Step 5: Now, add the y-components of both vectors together: 3 + 4.
Step 6: Calculate the y-component: 3 + 4 = 7.
Step 7: Combine the results from Step 4 and Step 6 to form the resultant vector: (1, 7).

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