Answer:
magnitude: 21.6; direction: 33.7 degrees
Explanation:
When we multiply a vector by a scalar, we have to multiply each component of the vector by the scalar number. In this case, we have
vector: (-3,-2)
Scalar: -6
so the vector multiplied by the scalar will have components

The magnitude is given by Pythagorean's theorem:

and the direction is given by the arctan of the ratio between the y-component and the x-component:

Answer:
Though you have not gave the choices, I do believe it is “testing”
Explanation:
The correct answer is (b.) y/x hertz. That is because the formula to get the frequency is f = v / w. The following values (v=y meters / second; wavelength = x meters) must be substituted to the equation, which leaves you y/x hertz.
To solve this problem, we will apply the concepts related to the linear deformation of a body given by the relationship between the load applied over a given length, acting by the corresponding area unit and the modulus of elasticity. The mathematical representation of this is given as:

Where,
P = Axial Load
l = Gage length
A = Cross-sectional Area
E = Modulus of Elasticity
Our values are given as,
l = 3.5m
D = 0.028m

E = 200GPa

Replacing we have,




Therefore the change in length is 1.93mm
The pressure of the water on the diver is given in an expression written as:
<span>p=15+15/33d
where p is the pressure and d is the distance of the diver </span><span>below the surface.
The pressure is calculated as follows:
</span>p=15+15/33(100) = 15.00 pounds per square feet
Therefore, the correct answer is option A.