Question

Select the answer that correctly shows the following vectors, given in component form, in standard position.

v = (-3, -4)

Options:
Option 1: (-3, 4)
Option 2: (3, 4)
Option 3: (4, -3)
Option 4: (-4, 3)

Answer 1

The vector (-3, -4) in standard position is represented by the point (-3, 4).

Step-by-step explanation:

To show the vector v=(-3,-4) in standard position, we start at the origin (0,0) and move -3 units to the left on the x-axis and -4 units downward on the y-axis.

This gives us the point (-3,-4).

So the correct answer is Option 1: (-3, 4).