Find the scalar product of the vectors G = (5, -3, 2) and H = (1, 1, 1).
Practice Questions
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Find the scalar product of the vectors G = (5, -3, 2) and H = (1, 1, 1).
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Questions & Step-by-Step Solutions
Find the scalar product of the vectors G = (5, -3, 2) and H = (1, 1, 1).
Step 1: Identify the components of vector G, which are (5, -3, 2).
Step 2: Identify the components of vector H, which are (1, 1, 1).
Step 3: Multiply the first component of G (5) by the first component of H (1). This gives 5 * 1 = 5.
Step 4: Multiply the second component of G (-3) by the second component of H (1). This gives -3 * 1 = -3.
Step 5: Multiply the third component of G (2) by the third component of H (1). This gives 2 * 1 = 2.
Step 6: Add the results from Steps 3, 4, and 5 together: 5 + (-3) + 2.
Step 7: Calculate the sum: 5 - 3 + 2 = 4.
Scalar Product – The scalar product (or dot product) of two vectors is calculated by multiplying their corresponding components and summing the results.
Vector Components – Understanding how to identify and use the components of vectors in calculations.
