Step-by-step explanation:
To prove the relation (VIVIk) = (k'IVI 4k) given that k' = k, we can substitute k' with k in the equation.
Let's start with the left side of the
equation:
(VIVIK)
Now, we can substitute k' with k:
(VIVIK) = (KIVIK)
Next, we need to simplify the expression (KIVIK). To do this, we need to understand the meaning of the notation IVI. In mathematics, IVI refers to the magnitude or absolute value of a vector V.
So, if we substitute IVI with its definition, we get:
(kIVIk) = k* IVI * k
Now, let's move on to the right side of the equation:
(k'IVI4k)
We already know that k' = k, so we can substitute k' with k:
(k'IVI4k) = (kIVI4k)
Again, we can simplify the expression (k|VI4k) by substituting | VI with its definition:
(kIVI4k) = k* IVI * 4k
Now, if we compare the simplified expressions for both sides of the equation, we can see that they are equal:
k* V *k= k* IVI * 4k
Therefore, we have proven that (VI
VIK) = (k'IVI4k) when k' = k.