Two like parallel forces of 4N and 8N are 15m apart. Find the distance in meters of the line of action of their resultant from 4N force.

• 10m
• 25m
• 20m
• 5m

Simplify

• A
• B
• C
• D

u=<-6,-8> , v=<2,5> . Find Find 3u+4v

• <10,4>

• <-10,-4>

• <-18,24>

• <-26,-44>

Three vectors are shown in Figure 1. Their magnitudes are given in arbitrary units. Find the magnitude of the resultant vector.

• 26.70

• 27.06

• 13.50

• 50

Calculate 2a + c

• 
• 
• 
• 

Calculate a+c-b

• 
• 
• 

• c₁ =2 , c₂ =-2

• c₁ =2 , c₂ =-3

• c₁ =1 , c₂ =2

• c₁ =-1 , c₂ =3

An airplane is flying in the direction S60⁰W with airspeed of 450 mph. It encounters a 65 mph wind in the direction of S25⁰E. What are the resultant speed and direction of the plane?

• W38.088⁰S at 460.243 mph

• W68.291⁰S at 449.029 mph

• W218.088⁰N at 458.264 mph

• W47.048⁰S at 432.741 mph

The vectors have magnitudes of 17 and 28 and the angle between them is 66°. Determine the magnitude of the resultant.

Give your answer to 1 decimal place, leave out the units.