Question

If the vector below is multiplied by 2, what will be its end point?

Answer 1

Answer: (4, -2)

Explanation:

1. The vector shown in the image is (2, -1)

 

    2. Now, the scalar multiplication for vectors works in the next way:

    3. for a scalar c and a vector (x,y)

    4. c*(x,y) = (c*x, c*y)

     5. In our case, the scalar is 2, and the vector is (2, -1)

     6.  2*(2, - 1) = (2*2, -1*2) = (4, -2)

Answer 2

Answer:

If the scalar is negative, then multiplying a vector by it changes the vector’s magnitude and gives the new vector the opposite direction. For example, if you multiply by –2, the magnitude doubles but the direction changes. We can summarize these rules in the following way: When vector A is multiplied by a scalar c

Explanation: