Answer to Question #132006 in Physics for Randy Drakey Tomaneejr

Question #132006

A vector A has X components Ax =3 and a Y components Ay= -1. What are the X and Y components of the vector 2A? The vector -4A?


1
Expert's answer
2020-09-07T08:55:44-0400

Multiplication of vector is componentwise: λ(x,y)=(λx,λy)\lambda (x,y) = (\lambda x, \lambda y).

Therefore, given that a=(3,1)\bold a = (3, -1), vector:

2a2 \bold a is equal to (6,2)(6, -2) (has x-component 6 and y-component -2)

4a-4 \bold a is equal to (12,4)(-12, 4) (has x-component -12 and y-component 4)


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