Question

Перпендикулярны ли векторы а(-2;3) и b(3;-2)? ​

Answer 1

Ответ:векторы перпендикулярны. Их скалярное произведение равно 0,

Пошаговое объяснение: аb= -6*6+9*4=-36+36=0

Answer 2

To check if two vectors are perpendicular, we can use the dot product (also known as the scalar product) of the vectors. Two vectors are perpendicular if and only if their dot product is equal to zero.

The dot product of two vectors a and b is calculated as follows:

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a · b = (a_x * b_x) + (a_y * b_y)

where a_x and a_y are the components of vector a, and b_x and b_y are the components of vector b.

Let's calculate the dot product of the given vectors a(-2;3) and b(3;-2):

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a · b = (-2 * 3) + (3 * -2) = (-6) + (-6) = -12

Since the dot product is not equal to zero (-12 ≠ 0), the vectors a(-2;3) and b(3;-2) are not perpendicular to each other. They are at some angle other than 90 degrees.