 ### Find an explicit description of nul A by listing vectors that span the null space.

begin{equation*} A = begin{bmatrix} 1 & 2 & 3 & -7 \ 0 & 1 & 4 & -6 end{bmatrix} end{equation*} This problem aims to find the

### A -10.0 nC point charge and a +20.0 nC point charge are 15.0 cm apart on the x-axis. Find the following:

What is the electric potential at the point on the x-axis where the electric field is zero? What are the magnitude and direction of the electric

### A particle moves along the curve y=2 sin(pi x/2). As the particle passes through the point (1/3, 1), its x-coordinate increases at a rate of sqrt{10} cm/s. How fast is the distance from the particle to the origin changing at this instant?

The question aims to find the rate of change in distance of the particle from the origin as it moves along the given curve and its movement

### Find the particular solution that satisfies the differential equation and the initial condition.

f”(x) =

### Find an orthogonal basis for the column space of the matrix given below:

}]This question aims to learn the Gram-Schmidt orthogonalization process. The solution given below follows the step-by-step procedure. In