A position vector in the first quadrant has an x-component of 6 m and a magnitude of 10 m. What is the value of its y-component
1 answer:
Answer:
8m
Explanation:
The magnitude m of a vector (x, y) is given by
m = -------------------------(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 =
Solve for y;
<em>Find the square of both sides</em>
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
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