Question

A(3; -6; 4) b(-2; 4; -5) Найти координаты вектора c=3a+2b

Answer 1

Ответ:

c=3a+2b, 9:-18:12+-4:8:-10=-5:-10:2

Объяснение:

Answer 2

To find the coordinates of vector c, which is equal to 3 times vector a plus 2 times vector b, you simply perform scalar multiplication and vector addition.

Given: Vector a: A(3, -6, 4) Vector b: B(-2, 4, -5)

To find vector c = 3a + 2b, first, multiply each component of vector a by 3 and each component of vector b by 2:

3a = 3 * A(3, -6, 4) = (3 * 3, 3 * -6, 3 * 4) = (9, -18, 12) 2b = 2 * B(-2, 4, -5) = (2 * -2, 2 * 4, 2 * -5) = (-4, 8, -10)

Next, add the resulting vectors 3a and 2b:

c = 3a + 2b = (9, -18, 12) + (-4, 8, -10) = (9 - 4, -18 + 8, 12 - 10) = (5, -10, 2)

So, the coordinates of vector c are (5, -10, 2).