Understanding Vector Addition in Two Dimensions

What is a common misconception about vector addition in two dimensions?

• Vectors can be added like regular numbers.

• Vectors have no direction.

• Vectors are only used in physics.

• Vectors are always positive.

What is a resultant vector?

• A vector that is the sum of two or more vectors.

• A vector that is always larger than its components.

• A vector that only exists in one dimension.

• A vector that has no direction.

How do you find the magnitude of a resultant vector?

• By adding the magnitudes of the individual vectors.

• By multiplying the magnitudes of the vectors.

• By using the Pythagorean theorem on the vector components.

• By subtracting the smaller vector from the larger one.

What is the purpose of breaking vectors into components?

• To simplify the addition of vectors.

• To make vectors longer.

• To change the direction of vectors.

• To eliminate the need for trigonometry.

If an airplane needs to travel directly east, how should it adjust its direction when facing a southern wind?

• Point slightly south of east.

• Point directly west.

• Point slightly north of east.

• Point directly south.

What angle should the airplane point to counteract a southern wind and travel east?

• 30 degrees south of east

• 30 degrees north of east

• 19.5 degrees south of east

• 19.5 degrees north of east

How does the angle of the wind affect the resultant vector of the airplane?

• It only affects the speed of the airplane.

• It changes both the magnitude and direction.

• It changes the magnitude but not the direction.

• It has no effect.

What is the horizontal component of a vector if the vector is at 30 degrees north of east?

• 30 cosine 30

• 10 cosine 45

• 30 sine 30

• 10 sine 45

In the context of vector addition, what does 'north of east' mean?

• The vector is pointing at an angle northward from the east direction.

• The vector is pointing directly east.

• The vector is pointing at an angle eastward from the north direction.

• The vector is pointing directly north.

What method can be used to add vectors in physics?

• Using a table to organize components.

• Adding the magnitudes directly.

• Using only the horizontal components.

• Ignoring the direction of vectors.