Answer:28.98i +7.76j
Explanation:To represent a vector in vector notation, we use the format ai + bj, where a and b are the components of the vector in the x and y directions, respectively.
Given that the vector has a magnitude of 30 and is directed 15° below the + x-axis, we can determine the components of the vector using trigonometry.
The x component (a) can be found by using the cosine function:
a = magnitude * cos(angle)
a = 30 * cos(15°)
The y component (b) can be found using the sine function:
b = magnitude * sin(angle)
b = 30 * sin(15°)
Now, let's calculate these values:
a = 30 * cos(15°) ≈ 28.98
b = 30 * sin(15°) ≈ 7.76
So, the vector in vector notation is:
28.98i + 7.76j
Therefore, the correct answer is: 28.98i + 7.76j.