Calculate the scalar product of the vectors K = (0, 1, 2) and L = (3, 4, 5).
Practice Questions
Q1
Calculate the scalar product of the vectors K = (0, 1, 2) and L = (3, 4, 5).
10
11
12
13
Questions & Step-by-Step Solutions
Calculate the scalar product of the vectors K = (0, 1, 2) and L = (3, 4, 5).
Step 1: Identify the components of vector K, which are (0, 1, 2).
Step 2: Identify the components of vector L, which are (3, 4, 5).
Step 3: Multiply the first component of K (0) by the first component of L (3). This gives 0 * 3 = 0.
Step 4: Multiply the second component of K (1) by the second component of L (4). This gives 1 * 4 = 4.
Step 5: Multiply the third component of K (2) by the third component of L (5). This gives 2 * 5 = 10.
Step 6: Add the results from Steps 3, 4, and 5 together: 0 + 4 + 10.
Step 7: Calculate the total: 0 + 4 + 10 = 14.
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 the individual components of vectors is crucial for performing operations like the scalar product.
