The magnitude of this vector is 15
A vector is a quantity or phenomenon that has two independent properties: magnitude and direction. The term also denotes the mathematical or geometrical representation of such a quantity. Examples of vectors in nature are velocity, momentum, force, electromagnetic fields, and weight.
The magnitude of a vector formula is used to calculate the length for a given vector (say v) and is denoted as |v|. So basically, this quantity is the length between the initial point and endpoint of the vector.
Let vector be = a
component of vector in x direction = 10 i
component of vector in y direction = 10 j
component of vector in z direction = 5 z
vector a = 10 i + 10 j + 5 z
magnitude of vector a = |a| =
= 15
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The Box's Acceleration : g sin θ
<h3>Further explanation </h3>
Newton's 2nd law explains that the acceleration produced by the resultant force on an object is proportional and in line with the resultant force and inversely proportional to the mass of the object
∑F = m. a
F = force, N
m = mass = kg
a = acceleration due to gravity, m / s²
We plot the forces acting on the block (picture attached) according to the y-axis and the x-axis.
Because the motion of the block is in the same direction as the x-axis, ignoring the friction force with the inclined plane, then

This question is an illustration of the distance postulate.
<h3>What is distance postulate ?</h3>
The distance between any two different points equates to a single positive real integer, according to the postulate of distance.
The full text is: The distance is a positive unique integer between every pair of different locations.
Consider two separate points A and B as an example.
The distance between A and B is the integer that represents the size of A and B.
The positive number (i.e. the distance) between A and B would be:
d= B-A
d = 6 - 1
d = 1
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