The vector from the origin to point A is given as (6, −2, −4), and the unit vector directed from the origin toward point B is (2, −2, 1)/3. If points A and B are ten units apart, find the coordinates of point B.

Following the given vectors, the coordinates of point B are given as (7.38, -7.38, 3.92). This was arrived at by utilizing the constraint of the distance between points A and B.

What is a Constraint?

In mathematics, a constraint refers to a condition or requirement that the problem indicated must satisfy. That is, it is a permanent factor in the equation of that problem.

What is the solution to the problem above?

Taking the vector quantities:
(6, -2, -4)

We can state that the Vector taken from the origin of Point B will be expressed as a multiple of the unit vector - U⁸= (2/3, -2/3, 1/3).

Learn more about vectors at:

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