Question

Given the vectors s=(0,-2) and t=(3,6), find 2s and s-t.

Answer 1

The vector 2s is calculated as (0, -4), and the vector s-t is (-3, -8). These results are obtained by scalar multiplication and vector subtraction respectively.

Step-by-step explanation:

To find the vector 2s, you simply multiply each component of the vector s by 2:

• 2s = 2(0, -2) = (0, -4)

To find the vector s - t, you subtract each component of the vector t from the corresponding component of the vector s:

• s - t = (0, -2) - (3, 6) = (0 - 3, -2 - 6) = (-3, -8)

Therefore, the results for the two operations are 2s = (0, -4) and s - t = (-3, -8).