If E = (5, 5, 5) and F = (1, 2, 3), what is the scalar product E · F?

If E = (5, 5, 5) and F = (1, 2, 3), what is the scalar product E · F?

Step 1: Identify the components of vector E, which are (5, 5, 5).
Step 2: Identify the components of vector F, which are (1, 2, 3).
Step 3: Multiply the first component of E (5) by the first component of F (1). This gives 5 * 1 = 5.
Step 4: Multiply the second component of E (5) by the second component of F (2). This gives 5 * 2 = 10.
Step 5: Multiply the third component of E (5) by the third component of F (3). This gives 5 * 3 = 15.
Step 6: Add the results from Steps 3, 4, and 5 together: 5 + 10 + 15.
Step 7: Calculate the total: 5 + 10 + 15 = 30.

Scalar Product – The scalar product (or dot product) of two vectors is calculated by multiplying their corresponding components and summing the results.