Answer:
The answer is below
Explanation:
A vector quantity is a quantity that has both magnitude and direction. The magnitude of a vector is the length of that vector.
The magnitude of a vector a with a x component of x and y component of y is given by the formula:
[tex]|a|=\sqrt{x^2+y^2}[/tex]
Given that the vector has a magnitude of √8, the x component is 2 and the y component = y. Hence:
[tex]\sqrt{8}=\sqrt{2^2+y^2}\\\\squaring\ both\ sides:\\\\8=4 + y^2\\\\y^2=8-4\\\\y^2=4\\\\square\ root\ of\ both\ sides:\\\\y=\sqrt{4} \\\\y=\pm 2\\\\y=+2\ or\ y=-2[/tex]
