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Answer:
8m
Explanation:
The magnitude m of a vector (x, y) is given by
m = [tex]\sqrt{x^2 + y^2}[/tex] -------------------------(i)
where;
x and y are the x- and y- components of the vector.
From the question;
m = 10m
x = 6m
Substitute these values into equation (i) as follows;
10 = [tex]\sqrt{6^2 + y^2}[/tex]
Solve for y;
Find the square of both sides
10² = 6² + y²
100 = 36 + y²
y² = 100 - 36
y² = 64
y = √64
y = 8
Therefore, the y-component of the position vector is 8m