Question

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.
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Answer 1

50 inches Edge 2021

Step-by-step explanation:

Answer 2

The length of the resultant vector is 50 inches

Step-by-step explanation:

Use the Pythagorean theorem to find the answer, since the addition of these two perpendicular vectors will have a magnitude (length) equal to the hypotenuse of the right angle triangle formed by the two:

`|Resultant|\,=\,√(x^2+y^2) \\|Resultant|\,=\,√(48^2+14^2)\\|Resultant|\,=\,√(2304+196)\\|Resultant|\,=\,√(2500)\\|Resultant|\,=\,50\,in`

The length of the resultant vector is 50 inches