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Scalar Multiplication of Vectors

To multiply a vector by a scalar, multiply each component by the scalar.
If Scalar Multiplication of Vectors has a magnitude Scalar Multiplication of Vectors and direction d, then Scalar Multiplication of Vectors Scalar Multiplication of Vectors where n is a positive real number, the magnitude is Scalar Multiplication of Vectorsand its direction is d.

that if n is negative, then the direction of nu is the opposite of d.

Example: Let u=⟨-1,3⟩ , Find 7u.
7u=7⟨-1,3⟩
=⟨7(-1),7(3)⟩
=⟨-7,21⟩

Properties of Scalar Multiplication

Let u and v be vectors, let c and d be scalars. Then the following properties are true.
Properties of Scalar Multiplication

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