Question

Which vectors represent the reflection of the vector <3, -7> across the x-axis?

A. [-3, 7]
B. <-3,7>
C. [3, 7]
D. [7, -3]
E. <3,7>
F. <7,-3>

Answer 1

The reflection of the vector <3, -7> across the x-axis is given by E. <3,7>, where the y-component has been negated.

Step-by-step explanation:

The reflection of a vector across the x-axis involves negating the y-component of the vector while keeping the x-component the same. For the vector <3, -7>, reflecting it across the x-axis means we need to reverse the sign of the y-component from -7 to 7 while the x-component remains 3. This results in a new vector <3, 7>.

Therefore, the vector that represents the reflection of the vector <3, -7> across the x-axis is E. <3,7>.