Question

Which of the following is equivalent to v = ❬–4, 3❭?

Answer 1

The correct answer is u.

u is equivalent to (-4,3)

To determine which of the vectors shown in the graph is equivalent to the vector v = (-4, 3) , we need to find a vector in the graph that has the same magnitude and direction as v . The vector v = (-4, 3) indicates a move 4 units left (negative x-direction) and 3 units up (positive y-direction) from the starting point.

To find the equivalent vector among the options n , o , r , and u , follow these steps:

1. Analyze the Direction:

Look for vectors that move left and upward, as indicated by the negative x-component and the positive y-component of v

2. Measure the Lengths:

The length of the horizontal component should be 4 units (left), and the vertical component should be 3 units (up).

3. Match to v :

Find the vector that matches these components exactly.

Answer 2

Given: A vector with the coordinate below

`v=(-4,3)`

To Determine: The equivalent vector diagram to the given vector

The vector moved four boxes to the left and 3 boxes up

The diagram above represents the vector v given in the question

Hence, the vector that is equivalent to the given vector is VECTOR 'n'