Component form of 2a is (-4,6)
What is the component form of a vector?
(x,y) represents the component form of a vector that has gone x units left to the origin and y units up from the origin.
What is the scalar multiplication of a vector?
Multiplying each component of a vector by a scalar is called the scalar multiplication of the vector. For example for a vector v=(x,y), av=(ax, ay) where a is a scalar or a real number.
How to solve this particular problem?
Given, a=(-2,3)
Then by using scalar multiplication,
2a=(2(-2),2(3))=(-4,6).
Therefore the component form of 2a=(-4,6)
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