Question

calculate the following dot product.
\\( \langle 3, - 4 \
angle \cdot \langle 0, 0 \
angle \\)

Explanation:

Step1: Recall the dot product formula

For vectors \(\langle a,b
angle\) and \(\langle c,d
angle\), the dot product is \(ac + bd\).

Step2: Substitute the values

Here \(a = 3\), \(b=-4\), \(c = 0\), \(d = 0\). So the dot product is \(3\times0+(-4)\times0\).

Step3: Calculate the result

\(3\times0+(-4)\times0=0 + 0\).

Answer:

\(0\)