Question

Модуль c(-3, 1), d(5, -6) Найти 3c-2d, 5d+4c

Answer 1

Ответ:

3с- 2d= -9,3 - -11,2= 1,9

5d+4c= -28+ -12,4= -40,4

Пошаговое объяснение:

Answer 2

To find the operations 3c - 2d and 5d + 4c with the given points, you need to perform scalar multiplication and vector addition. Scalar multiplication involves multiplying each component of the vector by a scalar (in this case, a number), and vector addition is done by adding corresponding components of the vectors.

Given points: c = (-3, 1) d = (5, -6)

1. 3c - 2d: To calculate 3c - 2d, multiply each component of c by 3, and each component of d by 2, and then subtract the results:

3c = 3 * (-3, 1) = (-3 * 3, 3 * 1) = (-9, 3) 2d = 2 * (5, -6) = (2 * 5, 2 * -6) = (10, -12)

Now, subtract the components:

3c - 2d = (-9, 3) - (10, -12) = (-9 - 10, 3 - (-12)) = (-19, 15)

So, 3c - 2d = (-19, 15).

2. 5d + 4c: To calculate 5d + 4c, multiply each component of d by 5, and each component of c by 4, and then add the results:

5d = 5 * (5, -6) = (5 * 5, 5 * -6) = (25, -30) 4c = 4 * (-3, 1) = (4 * -3, 4 * 1) = (-12, 4)

Now, add the components:

5d + 4c = (25, -30) + (-12, 4) = (25 - 12, -30 + 4) = (13, -26)

So, 5d + 4c = (13, -26).