Vector Addition

Front

What is vector addition?

Back

Vector addition is the process of combining two or more vectors to determine a resultant vector, which represents the total effect of the individual vectors.

Front

How do you determine the resultant vector of two vectors in the same direction?

Back

When two vectors are in the same direction, their magnitudes are added together to find the resultant vector.

Front

What is the formula for finding the resultant vector of two perpendicular vectors?

Back

The resultant vector can be found using the Pythagorean theorem: R = √(A² + B²), where A and B are the magnitudes of the two vectors.

Front

What is a tailwind?

Back

A tailwind is a wind that blows in the same direction as the motion of an object, increasing its speed relative to the ground.

Front

What is the significance of the direction in vector addition?

Back

The direction of vectors is crucial in vector addition because it affects the resultant vector's magnitude and direction.

Front

What is the resultant vector of a 5 m vector east and a 3 m vector east?

Back

The resultant vector is 8 m east.

Front

How do you represent vectors graphically?

Back

Vectors can be represented graphically by arrows, where the length of the arrow indicates the magnitude and the direction of the arrow indicates the direction of the vector.

Front

What is the difference between scalar and vector quantities?

Back

Scalar quantities have only magnitude (e.g., speed), while vector quantities have both magnitude and direction (e.g., velocity).

Front

What is the resultant of two vectors of 10 m and 5 m in opposite directions?

Back

The resultant vector is 5 m in the direction of the larger vector.

Front

How do you calculate the magnitude of the resultant vector when vectors are at an angle?

Back

To calculate the magnitude of the resultant vector when vectors are at an angle, use the law of cosines: R = √(A² + B² + 2AB cos(θ)), where θ is the angle between the vectors.