Question

↑a (-4;2;5) и ↑b (4;0;-2)a)↑a+↑b=?б)↑a-↑b=?в)3a+2b=?​

Answer 1

Ответ:

a) a+b=(0;2;3)

б) a-b=(-8; 2; 7)

в) 3a+2b=(-4;6;11)

Объяснение:

a) a+b=(-4+4; 2+0; 5-2)=(0;2;3)

б) a-b=(-4-4; 2-0; 5+2)=(-8; 2; 7)

в) 3a+2b=3(-4;2;5)+2(4;0;-2)= =(-12;6;15)+(8;0;-4)=(-12+8;6+0; 15-4)=(-4;6;11)

Answer 2

Let's perform the vector operations using the given vectors:

a = (-4, 2, 5) b = (4, 0, -2)

a) To find ↑a + ↑b, we add the corresponding components of the vectors: ↑a + ↑b = (-4 + 4, 2 + 0, 5 + (-2)) = (0, 2, 3)

b) To find ↑a - ↑b, we subtract the corresponding components of the vectors: ↑a - ↑b = (-4 - 4, 2 - 0, 5 - (-2)) = (-8, 2, 7)

c) To find 3a + 2b, we multiply each component of ↑a by 3 and each component of ↑b by 2, and then add the corresponding components: 3a + 2b = (3(-4), 3(2), 3(5)) + (2(4), 2(0), 2(-2)) = (-12, 6, 15) + (8, 0, -4) = (-12 + 8, 6 + 0, 15 - 4) = (-4, 6, 11)

Therefore: a) ↑a + ↑b = (0, 2, 3) b) ↑a - ↑b = (-8, 2, 7) c) 3a + 2b = (-4, 6, 11)