Two vectors, X and Y, form a right angle. Vector X is 48 inches long and vector Y is 14 inches long. The length of the resultant vector is ________ inches.Please help?

Respuesta :

AL2006
If you pick up your pencil and draw a picture of these vectors, you'll see that they form a right triangle.  Its hypotenuse is the resultant vector.

       Length of the resultant  =  √ ( |X|²  +  |Y|² )

                                         =  √ (48² + 14²)

                                         =  √ (2,304 + 196)

                                         =  √ 2,500 in²

                                         =        50 inches