Question

Знайдіть значення x , при якому вектори a і b колінеарні якщо a (4x x) b (-8 2) СРОЧНО

Answer 1

Ответ:

Вот ответ надеюсь правильно плиз можно лучший ответ...

Answer 2

Finding the Value of x for Collinear Vectors a and b

To find the value of x for which vectors a and b are collinear, we need to use the given information about the vectors a and b.

The given vectors are: - Vector a: (4x, x) - Vector b: (-8, 2)

For two vectors to be collinear, they must be scalar multiples of each other. In other words, one vector can be obtained by multiplying the other vector by a scalar.

Let's check if vector b is a scalar multiple of vector a by comparing their components.

Comparing the x-components: - For vector a: x-component = 4x - For vector b: x-component = -8

Comparing the y-components: - For vector a: y-component = x - For vector b: y-component = 2

To determine if vector b is a scalar multiple of vector a, we need to check if the ratios of the corresponding components are equal.

Comparing the x-components: - (x-component of b) / (x-component of a) = -8 / (4x) = -2 / x

Comparing the y-components: - (y-component of b) / (y-component of a) = 2 / x

For vector b to be a scalar multiple of vector a, the ratios of the corresponding components must be equal. Therefore, we can set up the following equation:

- (-2 / x) = (2 / x)

To solve this equation, we can cross-multiply:

- (-2 * x) = (2 * x)

Simplifying the equation:

- -2x = 2x

Adding 2x to both sides:

- -2x + 2x = 2x + 2x

Simplifying further:

- 0 = 4x

Since 0 is equal to 4x, we can conclude that x can be any value.

Therefore, there is no specific value of x for which vectors a and b are collinear. They are collinear for all values of x.

Please note that the provided search snippet does not directly provide the answer to the question. However, based on the given information and the concept of collinear vectors, we can determine that there is no specific value of x for which vectors a and b are collinear.