What is the scalar product of the vectors (5, -3) and (-2, 4)?

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Question: What is the scalar product of the vectors (5, -3) and (-2, 4)?

Options:

Correct Answer: -6

Solution:

Scalar product = 5*(-2) + (-3)*4 = -10 - 12 = -22.

What is the scalar product of the vectors (5, -3) and (-2, 4)?

What is the scalar product of the vectors (5, -3) and (-2, 4)?

Step 1: Identify the components of the first vector (5, -3). Here, 5 is the first component and -3 is the second component.
Step 2: Identify the components of the second vector (-2, 4). Here, -2 is the first component and 4 is the second component.
Step 3: Multiply the first components of both vectors: 5 * (-2) = -10.
Step 4: Multiply the second components of both vectors: -3 * 4 = -12.
Step 5: Add the results from Step 3 and Step 4: -10 + (-12) = -10 - 12 = -22.
Step 6: The scalar product of the vectors (5, -3) and (-2, 4) is -22.

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