Question

Дано: A (7; -3; 2)B (3; -2; 0)Найти:P=3a -2B​

Answer 1

Ответ: р=2(-5;-8;4)+3(2;-6;7)-3(2;-6;-4)=(-10;-16;8)+(6;-18;21)-(6;-18;-12)=(-10+6-6;-16-18+18;8+21+12)=(-10;-16;41)

р=(-10;-16;41)

Объяснение:

Answer 2

To find the vector P, which is equal to 3 times vector A minus 2 times vector B, we can use the following formula:

P = 3A - 2B

Given the coordinates:

A = (7, -3, 2) B = (3, -2, 0)

To calculate P, we need to perform scalar multiplication and vector addition.

Scalar multiplication: Multiply each component of a vector by the scalar.

Vector addition: Add the corresponding components of the vectors.

Let's calculate P step by step:

P = 3A - 2B

P = 3 * (7, -3, 2) - 2 * (3, -2, 0)

P = (3 * 7, 3 * -3, 3 * 2) - (2 * 3, 2 * -2, 2 * 0)

P = (21, -9, 6) - (6, -4, 0)

P = (21 - 6, -9 + 4, 6 - 0)

P = (15, -5, 6)

Therefore, the vector P is (15, -5, 6).