Questions: Question 2 Which of the following CAN you do to a vector without changing the identity of that vector (i.e., without turning it into a different vector)? Select the correct answer You can rotate it. You can invert it (i.e.,flip it over). You can enlarge it (i.e., increase its length). You can shrink it (i.e., reduce its length). You can translate it (i.e., move it left, right, up or down).

Question 2
Which of the following CAN you do to a vector without changing the identity of that vector (i.e., without turning it into a different vector)?

Select the correct answer
You can rotate it.
You can invert it (i.e.,flip it over).
You can enlarge it (i.e., increase its length).
You can shrink it (i.e., reduce its length).
You can translate it (i.e., move it left, right, up or down).

Transcript text: Question 2 Which of the following CAN you do to a vector without changing the identity of that vector (i.e., without turning it into a different vector)? Select the correct answer You can rotate it. You can invert it (i.e.,flip it over). You can enlarge it (i.e., increase its length). You can shrink it (i.e., reduce its length). You can translate it (i.e., move it left, right, up or down).

Solution

Solution Steps

Step 1: Understanding Vector Identity

The identity of a vector is defined by its direction and magnitude. Any change in these properties results in a different vector. Therefore, to maintain the identity of a vector, its direction and magnitude must remain unchanged.

Step 2: Analyzing Each Option

Rotate it: Rotating a vector changes its direction, thus altering its identity.
Invert it (flip it over): Inverting a vector changes its direction, thus altering its identity.
Enlarge it (increase its length): Enlarging a vector changes its magnitude, thus altering its identity.
Shrink it (reduce its length): Shrinking a vector changes its magnitude, thus altering its identity.
Translate it (move it left, right, up, or down): Translating a vector does not change its direction or magnitude. It only changes its position in space, which does not affect the vector's identity.