Answer:
<em>a = 10</em>
<em>b = 2.5</em>
Step-by-step explanation:
The given vector is
<-1, 4>
Let represents <-1, 4>.
First, the dilation is done by a factor of 2.5.
If the dilation of a vector <, > is done by a factor <em>k:</em>
Then the resulting vector becomes:
The resulting as per above explanation:
Now, it is given that the vector is rotated by or .
The steps to find the resulting vector after the rotation of or , we can use the simple method:
Step 1: Multiply the value with -1.
i.e. the vector now becomes <2.5, 10> (Negative sign of x value removed).
Step 2: Swap the values of and .
So, the resulting vector is:
<10, 2.5>
In other form, we can represent the above vector as:
Comparing with
<em>a = 10</em>
<em>b = 2.5</em>