Vectors

Front

What are equivalent vectors?

Back

Vectors that have the same magnitude and direction, such as u and v.

Front

How do you find the component form of a vector given two points R and S?

Back

Subtract the coordinates of R from S: RS = S - R.

Front

If u = <3, 7>, what is 2u?

Back

2u = <6, 14>.

Front

What is the angle between the vectors v = i - j and w = i + j?

Back

The angle is 90 degrees.

Front

How do you perform vector subtraction?

Back

Subtract the corresponding components of the vectors.

Front

What is the formula for the magnitude of a vector u = ?

Back

Magnitude |u| = √(x² + y²).

Front

What is the dot product of two vectors u = and v = ?

Back

Dot product u · v = ac + bd.

Front

How do you find a unit vector in the direction of a vector u?

Back

Divide the vector u by its magnitude: û = u / |u|.

Front

What is the result of adding two vectors u = and v = ?

Back

Resultant vector = .

Front

If u = <3, 7> and v = <-5, 4>, what is 2v - 3u?

Back

2v - 3u = <-19, -13>.