Question

Suppose that each component of a certain vector is doubled.

Part A
By what multiplicative factor does the magnitude of the vector change?
Express your answer using one significant figure.
A2 =
nothing
A1
SubmitRequest Answer
Part B
By what multiplicative factor does the direction angle of the vector change?
Express your answer using one significant figure.
θ2 =
nothing
θ1

Answer 1

When each component of a vector is doubled, the magnitude of the vector doubles while the direction angle remains unchanged.

Step-by-step explanation:

When each component of a vector is doubled, the magnitude of the vector also doubles. This means that the magnitude is multiplied by a factor of 2.

However, the direction angle of the vector remains the same when the components are doubled. The direction angle is not affected by changes in the magnitudes of the vector components.