The x component of a certain vector is -86.0 units and the y component is +75.0 units.
What is the magnitude of the vector?
the magnitude of vector V, is
|V| = √(x²+y²)
=√((-86)^sup2;+75²)
= ...
To find the magnitude of a vector given its x and y components, you can use the Pythagorean theorem. The magnitude (or length) of a vector is the square root of the sum of the squares of its components.
In this case, the x component is -86.0 units and the y component is +75.0 units. Let's call the magnitude of the vector "M."
Using the Pythagorean theorem, we can set up the following equation:
M^2 = (-86.0)^2 + (75.0)^2
Simplifying:
M^2 = 7396.0 + 5625.0
M^2 = 13021.0
To find M, we take the square root of both sides:
M = √(13021.0)
Using a calculator, we find that:
M ≈ 114.09 units
Therefore, the magnitude of the vector is approximately 114.09 units.