Question

Ā(4;-10) b(-2;x) x-? укажите координаты векторов ā перпед b​

Answer 1

Чтобы векторы были перпендикулярны, их скалярное произведение должно быть равно 0

4 * (-2) + (-10)*х = 0
-8 - 10х = 0
х = -0,8

Ответ: -0.8

Answer 2

To find the vector ā perpendicular to b, we need to calculate the vector that is orthogonal (perpendicular) to b. To do this, we can use the fact that the dot product of two perpendicular vectors is zero.

Let's find the vector b(-2;x) first:

b = (-2, x)

Now, we'll find the dot product of ā and b and set it equal to zero:

ā · b = 0

Since ā(4, -10) and b(-2, x), the dot product is:

(4 * -2) + (-10 * x) = 0

-8 - 10x = 0

Now, solve for x:

-10x = 8

x = -8 / -10

x = 0.8

So, the vector b is b(-2, 0.8).

Now that we have both vectors ā(4, -10) and b(-2, 0.8), let's verify if they are perpendicular to each other. We calculate their dot product:

ā · b = (4 * -2) + (-10 * 0.8) = -8 - 8 = -16

Since the dot product is not equal to zero, the vectors ā and b are not perpendicular to each other.