Find the magnitude of the vector in standard position with end point (8.4, 2.7).
A)11.1
B)8.8
C)4.7
D)8.0

Question

Quizplus · Accepted Answer

We can use the Pythagorean theorem to find the magnitude of the vector. Let x be the horizontal distance and y be the vertical distance. Then, we have:

magnitude = sqrt(x^2 + y^2)

In this case, x = 8.4 and y = 2.7, so:

magnitude = sqrt(8.4^2 + 2.7^2) = sqrt(70.05) = 8.358

Rounded to one decimal place, the magnitude is 8.4, which corresponds to choice B.

Find the Magnitude of the Vector in Standard Position with End