Question

Two voctors, X and Y, form a right angle. Vector X is 48 inches long and vector Y is 14 inches long. The length of the

Answer 1

Answer:

the length of resultant vector is 5 inches

Explanation:

In the attachment, you will see X vector along the X axis and Y vector along the Y direction. Let the resultant vector be denoted by $R$

The resultant vector always start from the tail of first vector and ends at the head of second vector.

Since it is a right angled triangle, so the result of resultant vector is found by using Pythagoras theorem i.e.

$R^{2} =X^{2} +Y^{2}$

So, when we plug in the values of X = 48 and Y = 14

$R^{2} =48^{2} +14^{2}$

$x^{2} =2500\\R=\sqrt{2500} \\R=5$

Therefore, the length of resultant vector is 5 inches.