Vector Addition

Front

What are the two main components of a vector?

Back

Direction and magnitude.

Front

What is a resultant vector?

Back

A resultant vector is equal to the sum of two or more vectors.

Front

How do you calculate the direction of a vector given its x and y components?

Back

Use the formula: θ = tan⁻¹(y/x).

Front

What is the formula for finding the magnitude of a resultant vector from two vectors?

Back

Magnitude = √(x² + y²).

Front

What does the term 'magnitude' refer to in the context of vectors?

Back

Magnitude refers to the length or size of the vector.

Front

What is the significance of the direction in vector addition?

Back

The direction determines how vectors combine and affect the resultant vector.

Front

If vector A has a y component of 12 units and an x component of 7 units, what is the direction of vector A?

Back

θ = tan⁻¹(12/7).

Front

What is the resultant of two vectors with magnitudes of 10 m and 5 m in the same direction?

Back

15 m.

Front

What happens to the resultant vector when two vectors are in opposite directions?

Back

The resultant vector is the difference in their magnitudes.

Front

How do you represent vectors graphically?

Back

Vectors are represented as arrows, where the length indicates magnitude and the arrowhead indicates direction.