Quiz on Components of Vectors

What is the x-component of a displacement vector with a magnitude of 50 m and an angle of 30°?

• 35 m

• 43.30 m

• 25 m

• 50 m

What is the y-component of a displacement vector with a magnitude of 50 m and an angle of 30°?

• 25 m

• 15 m

• 35 m

• 43.30 m

What is the magnitude of a vector with components Fx = 90 N and Fy = 120 N?

• 110 N

• 180 N

• 200 N

• 150 N

What is the direction of a displacement vector if its components are Ax = 10 m, Ay = 5 m?

• 26.57° north of east

• 45° south of west

• 30° east of north

• 60° west of south

What is the x-component of a vector located in the second quadrant with an x-component of -80 m at an angle of 20°?

• -80 m

• 80 m

• 60 m

• 100 m

What is the y-component of a force vector located in the third quadrant with a magnitude of 265 N and a y-component of -150 N?

• -150 N

• 150 N

• 200 N

• 100 N

What is the resultant vector calculated using the Pythagorean theorem?

• Direction of the vector

• None of the above

• Magnitude of the vector

• Angle of the vector

What is the angle or direction of a vector determined using?

• Inverse cosine function

• Inverse sine function

• Direct sine function

• Inverse tangent function

What is the magnitude of a displacement vector with components Dx = -2500 km and Dy = 1800 km?

• 3080.58 km

• 2500 km

• 1800 km

• 4000 km

What is the y-component of a displacement vector located in the first quadrant with a magnitude of 50 km and an x-component of 44 km?

• 20 km

• 30 km

• 23.75 km

• 15 km