Question

A certain vector in the xy plane has an
x component of 4m and a y component
of 10 m. It is then rotated in the xy
plane so that its x-component is
doubled. Then find itsnew y component
​

Answer 1

ANSWER

ANSWERMagnitude of vector do not change by it's rotation.

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10m

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m Y-component =y

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m Y-component =y⇒

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m Y-component =y⇒ 4

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m Y-component =y⇒ 4 2

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m Y-component =y⇒ 4 2 +10

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m Y-component =y⇒ 4 2 +10 2

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m Y-component =y⇒ 4 2 +10 2

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m Y-component =y⇒ 4 2 +10 2

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m Y-component =y⇒ 4 2 +10 2 =

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m Y-component =y⇒ 4 2 +10 2 = 8

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m Y-component =y⇒ 4 2 +10 2 = 8 2

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m Y-component =y⇒ 4 2 +10 2 = 8 2 +y

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m Y-component =y⇒ 4 2 +10 2 = 8 2 +y 2

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m Y-component =y⇒ 4 2 +10 2 = 8 2 +y 2

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m Y-component =y⇒ 4 2 +10 2 = 8 2 +y 2

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m Y-component =y⇒ 4 2 +10 2 = 8 2 +y 2

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m Y-component =y⇒ 4 2 +10 2 = 8 2 +y 2 ⇒y=

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m Y-component =y⇒ 4 2 +10 2 = 8 2 +y 2 ⇒y= 52

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m Y-component =y⇒ 4 2 +10 2 = 8 2 +y 2 ⇒y= 52

ANSWERMagnitude of vector do not change by it's rotation.Initially: X-component =4m Y-component =10mFinally: X-component =2×4m=8m Y-component =y⇒ 4 2 +10 2 = 8 2 +y 2 ⇒y= 52 =7.2m