Question

Помогите пойдет любое решение Знайдіть значення, m, при якому вектори a (m; 3) i b (5;-9) e комінеарнимм​

Answer 1

Ответ:

m = -5/3.

Объяснение:

Что значит "пойдет любое решение"??

Решение.

Два вектора коллинеарны, если отношения их координат равны.  То есть:

m/5 = 3/-9 = -1/3.  =>  m = - 5/3.

Answer 2

Finding the Value of m for which Vectors are Collinear

To find the value of m for which the vectors a(m, 3) and b(5, -9) are collinear, we can use the fact that two vectors are collinear if and only if one is a scalar multiple of the other.

Using the Collinearity Condition

The condition for collinearity of two vectors u and v is that there exists a scalar k such that u = kv.

Applying the Condition to Vectors a and b

In this case, we can set up the following equation based on the collinearity condition:

a = kb

where a = (m, 3) and b = (5, -9).

Solving for m

By equating the components of the vectors, we get the following system of equations:

1. m = 5k 2. 3 = -9k

Solving this system of equations will give us the value of k, and subsequently, the value of m.

Calculating the Value of k

From equation (1), we can solve for k:

k = m / 5

Substituting this value of k into equation (2), we get:

3 = -9 * (m / 5)

Solving for m:

3 = -9m / 5

m = -5

Conclusion

Therefore, the value of m for which the vectors a(m, 3) and b(5, -9) are collinear is m = -5.