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