Find the scalar product of the vectors (4, 5) and (1, 2).
Practice Questions
Q1
Find the scalar product of the vectors (4, 5) and (1, 2).
14
13
12
11
Questions & Step-by-Step Solutions
Find the scalar product of the vectors (4, 5) and (1, 2).
Step 1: Identify the two vectors. The first vector is (4, 5) and the second vector is (1, 2).
Step 2: Multiply the first component of the first vector (4) by the first component of the second vector (1). This gives you 4 * 1 = 4.
Step 3: Multiply the second component of the first vector (5) by the second component of the second vector (2). This gives you 5 * 2 = 10.
Step 4: Add the results from Step 2 and Step 3 together. So, 4 + 10 = 14.
Step 5: The final result, which is the scalar product of the vectors (4, 5) and (1, 2), is 14.
Scalar Product – The scalar product (or dot product) of two vectors is calculated by multiplying their corresponding components and summing the results.