Check for Understanding - Vectors

What is magnitude and direction of the resultant vector?

• 50 N to the right

• 50 N to the left

• 250 N to the right

• 250 N to the left

What is the magnitude and direction of the vector you get when you combine these two vectors?

• 160 N to the right

• 80 N

• 80 N to the right

• 80 N to the left

Which of the vectors in this diagram points (some angle) South of East?

• A

• C

• D

• F

All the vectors shown have the same magnitude (length or size). Which two vectors would cancel each other and give a zero when added together?

• A and B

• A and C

• B and D

• A and E

What is the magnitude of the resultant vector R, shown by the red arrow, when the two vectors shown by the black arrows are added?

• 70 km

• 10 km

• -10 km

• 50 km

Is it possible to add a vector of magnitude 3 m to another of magnitude 4 m and get a vector of magnitude 0.5 m?

• Yes

• No

Which of the three vectors has a positive x component and a negative y component?

• F₁

• F₂

• F₃

• F₂ and F₃

If vector v = 50 m/s and the angle

 $\theta$  = 30 $\degree$ ,  what are the x and y components of the vector?

• x component = 43.3 m/s;  y component = 25 m/s

• y component = 43.3 m/s;  x component = 25 m/s

• x component = 43.3 m/s;  y component = 50 m/s

• x component = 50 m/s;  y component = 25 m/s

Take each square to be 10m along its edge. All squares are identical. Take up/right to be positive and down/left to be negative. The components of vector E are

• x component: 20 m y component: - 40 m

• x component: 2 m y component: - 4 m

• x component: 20 m y component: 40 m

• x component: - 2 m y component: - 4 m

Take each square to be 10 m along each edge. All squares are identical. Right/up are positive and left/down are negative. What are the components of the resultant vector when you add D and F?

• x component: 10 m y component: 40 m

• x component: 50 m y component: 40 m

• x component: 5 m y component: 4 m

• x component: 10 m y component: - 40 m