A certain vector in the x y -plane has an x -component of 4 m and a y -component of 10 m. It is then rotated in the x y -plane so that its x -component is doubled. Then, its new y -component is (approximately)

Step-by-step solution

Here, A=4 i +10 j |A|= (4)^2+(10)^2 = 16+100 = 116 ~m Now, according to question, A=8 i +n j So, |A|= (8)^2+n^2 116 = (8)^2+n^2 Squaring on both sides 116=64+n^2 or n^2=116-64=52 or n=7.2 ~m