If E = (1, 1, 1) and F = (2, 2, 2), what is the scalar product E · F?
Practice Questions
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If E = (1, 1, 1) and F = (2, 2, 2), what is the scalar product E · F?
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Questions & Step-by-Step Solutions
If E = (1, 1, 1) and F = (2, 2, 2), what is the scalar product E · F?
Step 1: Identify the components of vector E, which are (1, 1, 1).
Step 2: Identify the components of vector F, which are (2, 2, 2).
Step 3: Multiply the first component of E (1) by the first component of F (2). This gives 1 * 2 = 2.
Step 4: Multiply the second component of E (1) by the second component of F (2). This gives 1 * 2 = 2.
Step 5: Multiply the third component of E (1) by the third component of F (2). This gives 1 * 2 = 2.
Step 6: Add the results from Steps 3, 4, and 5 together: 2 + 2 + 2 = 6.
Scalar Product – The scalar product (or dot product) of two vectors is calculated by multiplying their corresponding components and summing the results.
