Question

Find the dot product of vectors a and b. Given a = <2, 4> and b = <2, 5>.

Answer 1

Answer: 24

Explanation: We multiply the corresponding coordinates. Then add up the products.

a dot b = 2*2 + 4*5

a dot b = 4 + 20

a dot b = 24

Answer 2

The dot product of vectors a = <2, 4> and b = <2, 5> is calculated by multiplying corresponding components and summing them up, resulting in a dot product of 24.

Step-by-step explanation:

The dot product of two vectors is a scalar calculation where you multiply corresponding components of the two vectors and then sum the results. For vectors a = <2, 4> and b = <2, 5>, the dot product is calculated as follows:

• Multiply the first component of vector a by the first component of vector b: 2 * 2 = 4.
• Multiply the second component of vector a by the second component of vector b: 4 * 5 = 20.
• Add the results of these multiplications together to get the dot product: 4 + 20 = 24

Therefore, the dot product of vectors a and b is 24.