The coordinates of the vector v are (x, y) = (7, 3). (Correct choice: C)
What is the expression of the multiple of a vector?
The picture shows a vector u, that is, (x, y) = (21, 9) and we need to find the resultant of multiplying that vector by a scalar, which is equal to 3. By mutiplying a vector by a scalar:
u = k · v
Where k is the scalar multiple.
If we know that u = (21, 9) and k = 3
(21, 9) = 3 · (x, y)
(21, 9) = (3 · x, 3 · y)
(x, y) = (7, 3)
The coordinates of the vector v are (x, y) = (7, 3). (Correct choice: C)
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