Question

Вектор a ( 4;-3) вектор b (-3;1) вектор c=2a-3b найти координаты вектора c

Answer 1

Відповідь: с (17;-9)

Answer 2

To find the coordinates of vector c, which is defined as c = 2a - 3b, we need to perform scalar multiplication and vector subtraction. Given the vectors a and b:

Vector a: (4, -3) Vector b: (-3, 1)

Let's calculate c:

Step 1: Perform scalar multiplication for 2a: 2a = 2 * (4, -3) = (2 * 4, 2 * -3) = (8, -6)

Step 2: Perform scalar multiplication for 3b: 3b = 3 * (-3, 1) = (3 * -3, 3 * 1) = (-9, 3)

Step 3: Perform vector subtraction of 2a - 3b: c = (8, -6) - (-9, 3) = (8 + 9, -6 - 3) = (17, -9)

So, the coordinates of vector c are (17, -9).