Find the magnitude of v.
v = -10i + 3j
v =
trés simples --
|v| = √(10^2+3^2) = √109
To find the magnitude of vector v, you can use the Pythagorean theorem in a 2D coordinate system.
The Pythagorean theorem states that the magnitude (or length) of a vector is equal to the square root of the sum of the squares of its components. In this case, vector v has two components: -10i and 3j, where i and j are the unit vectors along the x-axis and y-axis, respectively.
Using the Pythagorean theorem, we can calculate the magnitude of vector v as follows:
|v| = √((-10)^2 + 3^2)
|v| = √(100 + 9)
|v| = √109
Therefore, the magnitude of vector v is √109, which is approximately 10.44.