Question

question 4 of 20 evaluate the dot product of (7,5) and (-5,4).

Explanation:

Step1: Recall dot product formula

For vectors $\vec{u}=(u_1,u_2)$ and $\vec{v}=(v_1,v_2)$, dot product is $\vec{u} \cdot \vec{v} = u_1v_1 + u_2v_2$.

Step2: Substitute values into formula

$\vec{u} \cdot \vec{v} = (7)(-5) + (5)(4)$

Step3: Calculate each product

$= -35 + 20$

Step4: Compute final sum

$= -15$

Answer:

$-15$