Vectors

Front

What is a vector?

Back

A vector is a quantity that has both magnitude and direction, represented graphically by an arrow.

Front

How do you add two vectors u and v?

Back

To add two vectors, you add their corresponding components: if u = and v = , then u + v = .

Front

What is the magnitude of a vector ?

Back

Front

What is the unit vector in the direction of a vector v?

Back

Front

How do you find the components of a vector given its magnitude and direction?

Back

Front

What is the result of multiplying a vector by a scalar?

Back

Multiplying a vector by a scalar changes its magnitude but not its direction. If k is a scalar and v = , then kv = .

Front

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

Back

Front

What is the cross product of two vectors?

Back

Front

How do you find the angle between two vectors?

Back

Front

What is the resultant vector of two perpendicular vectors?

Back