Final answer:
The question is likely based on a misunderstanding of vector scalar multiplication. There is no single scalar value of c that would satisfy the equation c(4, 2, 1) = 1 as normally understood in vector algebra.
Step-by-step explanation:
The question asks for the values of c in the vector equation c(4, 2, 1) = 1. This appears to be an oversimplified vector equation where a scalar c is multiplied by the vector (4, 2, 1) to yield a scalar 1, which is not typical in vector operations. However, taking the question at face value, we're seeking a scalar that when multiplied with each component of the vector results in a 1.
Since scalar multiplication is distributive over vector addition, this gives us c × 4 = 1, c × 2 = 1, and c × 1 = 1. Only one of these equations can be true for a given value of c, which implies that there might be a typo or misunderstanding in the question as posed.
In normal circumstances, a scalar multiplication affects all components of the vector equally, meaning there is no single value of c that can satisfy c(4, 2, 1) = 1 as given.