Answer:
v = <-3√2 , 3√2>
v = <-10 , 0>
Step-by-step explanation:
∵ Vector v in the same direction of vector u
∴ u = v/║v║
∵ u = <-3 , 3> ⇒ convert it to unit vector
∴ ║u║ = √(-3)² + (3)² = √18 = 3√2
∵ Unit vector = u/║u║
∴ u = <-3 , 3>/3√2 =<-3/3√2 , 3/3√2>
∴ u = <-1/√2 , 1/√2>
∵ u = v/║v║
∴ u ║v║ = v
∵ ║v║ = 6
∴ v = 6 <-1/√2 , 1/√2>
∴ v = <-6/√2 , 6/√2> ⇒ multiply up and down by √2
∴ v = <-3√2 , 3√2>
∵ Vector v in the same direction of vector u
∴ u = v/║v║
∵ u = <-10 , 0> ⇒ convert it to unit vector
∴ ║u║ = √(-10)² + (0)² = √100 = 10
∵ Unit vector = u/║u║
∴ u = <-10 , 0>/10 =<-1 , 0>
∴ u = <-1 , 0>
∵ u = v/║v║
∴ u ║v║ = v
∵ ║v║ = 10
∴ v = 10 <-1 , 0>
∴ v = <-10 , 0>
∴ v = <-10 , 0>
Answer:
98.3 seconds
Step-by-step explanation:
If you use stoichometry you can convert your units
9.83 seconds
over 100 meters a kilometer is 1000 meters so
9.83/100 *10 because what you do to denominator needs to happen to numerator
98.3 seconds
over 1 kilometer
it take the sprinter 98.3 seconds to run a kilometer and one way to check is well a kilo is a longer distance so logically the time it takes them has to be higher cause they cannot run a kilo faster than they run 1/10 of it
4+96=100 when you follow PEMDAS
Answer:
2x little 2on top
Step-by-step explanation:
2/5 + 6/7 + 2/3....lowest common denominator is 105
42/105 + 90/105 + 70/105 = 202/105 =1 97/105 or 1.92 miles
