Answer:
The correct option is d. 15
Step-by-step explanation:
Consider the provided information.
We need to find the a ⋅ b
The given vector is:
a = 9i - 6j, b = 5i + 5j
[tex]\vec{a} = 9i - 6j \cdot \vec{b}= 5i + 5j [/tex]
Use the vector multiplication as shown:
[tex]a = a_1, a_2,…, a_n\ \text{and}\ b = b_1, b_2,…, b_n[/tex] is defined as:
[tex]a\cdot b =a_1b_1+a_2b_2...a_nb_n[/tex]
Now by using the above formula:
[tex]\vec{a}=9i-6j\cdot \vec{b}= 5i + 5j=45-30=15[/tex]
Hence, the correct option is d. 15
