Question

При якому значенні n вектори а (n; 1,2) i b(0,72; n) колінеарні? СРОЧНО ПЖ

Answer 1

Посмотри на фото. И не забудь поставить <<Спасибо>> :D

Answer 2

Determining when the vectors a and b are collinear

To determine when the vectors a and b are collinear, we need to find the value of n that satisfies the condition.

The vector a is given as (n, 1, 2), and the vector b is given as (0, 72, n).

Two vectors are collinear if one is a scalar multiple of the other. In other words, if we can find a scalar k such that a = kb, then the vectors are collinear.

Let's equate the corresponding components of the vectors a and b:

For the x-component: n = 0 * k = 0 For the y-component: 1 = 72 * k For the z-component: 2 = n * k

From the first equation, we can see that n must be equal to 0.

Substituting n = 0 into the second equation, we get: 1 = 72 * k

Solving for k, we find: k = 1/72

Therefore, the vectors a and b are collinear when n = 0.

Summary: The vectors a = (n, 1, 2) and b = (0, 72, n) are collinear when n = 0.