Question

Use the figure to evaluate a+b, a-b, and -a.please write your answers in the angle brackets ⟨⟩

Answer 1

Step-by-step explanation: To solve this question we will also use the coordinates to ensure that our answers are right.

Step 1: First let's take a look at the picture and find the coordinates as follows

Step 2: Now let's calculate a + b.

Once a = <-1,4> and b = <3,2> then a+b = <-1+3,4+2> = <2,6>. Graphcally we just need to take the vector b that and place it on vector a and the resulting vector represents a+b as shown below

Step 3: Now we have that a - b = a+(-b) = <-1+(-3), 4+(-2)> = <-4,2>. Now let's represente it as follows

Step 4: Finally we have -a = <-(-1),-4> = <1,-4>. Now let's represent it as follows

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