Find the scalar product of the vectors (4, 5) and (1, 2).

₹0.0

Question: Find the scalar product of the vectors (4, 5) and (1, 2).

Options:

Correct Answer: 14

Solution:

Scalar product = 4*1 + 5*2 = 4 + 10 = 14.

Find the scalar product of the vectors (4, 5) and (1, 2).

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.