Vector Scalar Multiplication ca =
Scalar multiplication is an operation that involves multiplying a vector by a scalar (a real number)
Scalar multiplication is an operation that involves multiplying a vector by a scalar (a real number). In this case, “c” represents the scalar and “a” represents the vector.
When performing scalar multiplication, each component of the vector is multiplied by the scalar. So, if we have a vector “a” with components (a₁, a₂, a₃), and a scalar “c”, the scalar multiplication ca would result in a new vector with components (ca₁, ca₂, ca₃).
For example, let’s consider the vector a = (2, -3, 5) and the scalar c = 4.
To find the scalar multiplication ca, we need to multiply each component of the vector by the scalar:
ca = (c * a₁, c * a₂, c * a₃)
= (4 * 2, 4 * -3, 4 * 5)
= (8, -12, 20)
So, the scalar multiplication ca of vector a and scalar c is (8, -12, 20).
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