Question

fill in the blank to correctly complete the following sentence.
the formula for the dot product of the two vectors ( u = langle a, b
angle ) and ( v = langle c, d
angle ) is ( u cdot v = ).
the formula for the dot product of the two vectors ( u = langle a, b
angle ) and ( v = langle c, d
angle ) is ( u cdot v = square ).

Explanation:

Step1: Recall dot product formula

For vectors \(\mathbf{u}=\langle a,b
angle\) and \(\mathbf{v}=\langle c,d
angle\), the dot product is calculated by multiplying corresponding components and then adding them.

Step2: Apply the formula

The dot product \(\mathbf{u}\cdot\mathbf{v}\) is \(ac + bd\).

Answer:

\(ac + bd\)