Question

A vector in standard position has its terminal point at (7, -4). What is the magnitude of the vector?

a. √3
b. 3
c. √65
d. 65

Answer 1

The magnitude of the vector is √65.

Step-by-step explanation:

The magnitude of a vector can be found using the Pythagorean theorem. In this case, the vector has terminal point (7, -4). To find the magnitude, we can use the coordinates of the terminal point as the components of the vector. The magnitude is given by:

magnitude = √((7)^2 + (-4)^2) = √(49 + 16) = √65

So the magnitude of the vector is √65.