Resolving Vectors

Physical quantities are either scalars or vectors.

Select the row of the table which correctly identifies a scalar quantity and a vector quantity.

• A

• B

• C

• D

Which statement about vector quantities is correct?

• Scalars have direction only

• Scalars have distance only

• Vectors have magnitude and direction

• Vectors have magnitude and distance

Which of the following is a scalar quantity?

• displacement

• force

• time

• velocity

Which table is correct for scalar and vector quantities? Look at the table where you can see A, B, C and D labelled

• A

• B

• C

• D

Which of the following is a vector quantity?

• distance

• force

• speed

• work

A car travels 90 m east then 50 m north. A vector diagram is drawn with a dashed line representing the resultant displacement.

Which is a correct vector diagram for the displacement of the car? LOOK AT THE DIAGRAMS VERY CAREFULLY, SPECIFICALLY THE ARROW HEADS

• A

• B

• C

• D

Select the answer in which both quantities are vectors

• displacement, velocity

• acceleration, speed

• mass, time

• power, weight

An aeroplane is flying horizontally and heading north through the air. Its speed through the air is a and the wind is blowing east with a speed b.

The speed over the ground is given by

• $a+b$

• $a^2+b^2$

• $\sqrt{a+b}$

• $\sqrt{a^2+b^2}$

With reference to that same aeroplane, the angle from North at which the plane flies over the ground is given by

• $\cos^{-1}\left(\frac{a}{b}\right)$

• $\sin^{-1}\left(\frac{b}{a}\right)$

• $\tan^{-1}\left(\frac{a}{b}\right)$

• $\tan^{-1}\left(\frac{b}{a}\right)$

The diagram shows the forces acting on a picture, of weight W, suspended by a cord.

The tension in the cord is T. Which of the following expressions shows the correct relationship between W and T?

• $W=2T\cos\theta$

• $W=T\cos\theta$

• $W=T\sin\theta$

• $W=2T\sin\theta$