Question

The graph shows vectors w and z.


The resulting vector for w – z is < , >, and z – w is < ,
>.

Answer 1

Answers:

w – z: < -7, -3 >

z – w: < 7, 3 >

Explanation:

Step 1: Find the x and y coordinates of w and z.

w: ( -4, 1 )

z: ( 3, 4 )

Step 2: Substitute the letters with their correct numbers and solve the equations.

1. w - z

w - z = < - 4 - 3, 1 - 4 >

( You solve it like this to make sure the coordinates are lined up correctly )  

Answer: w - z =  < -7, -3 >

( For problem #2 you do the same thing )

2. z - w

z - w = ( 3 - ( - 4 ), 4 - 1 )

Answer: z - w = < 7 , 3 >

I hope my explanation helps you understand :)

Answer 2

Given the vectors z and w as <3, 4> and <-4, 1> respectively,  

w - z = <-7, -3> and z - w = <7, 3>

What is Vector Subtraction?

• The vector subtraction of two vectors a and b is represented by     a - b .
• It is nothing but adding the negative of vector b to the vector a.    that is, a - b = a + (-b).
• Subtraction of vectors involves the addition of vector and the negative of another vector.

• Both vectors in the subtraction should represent the same physical quantity.

For given question,

We have been given two vectors.

Vector z and vector w.

The positive of these vectors is,

z = <3, 4>

w = <-4, 1>

Now we find the resulting vector for w - z,

w - z = <-4, 1)> - <3, 4>

        = <-4, 1> + <-3, -4>

        = <-7, -3>

Now we find the resulting vector for  z - w,

z - w = <3, 4> - <-4, 1>

        = <3, 4> + <4, -1>

        = <7, 3>

Therefore, for given vectors  <3, 4> and <-4, 1>,  

w - z = <-7, -3>

z - w = <7, 3>

Learn more about vector subtraction here

https://brainly.com/question/12096498

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