Question

For vectors u = i + 6j, v = 5i – 3j, and w = 9i – 2j, determine u • w + v • w.27189048

Answer 1

`18`

Step-by-step explanation:

Here, we want to find the given expression

We start by finding the dot product of u and w

Mathematically, we have it that:

`u.w\text{ = 1\lparen9\rparen + \lparen6\rparen\lparen-2\rparen = 9-12 = -3}`

For v and w, we have it that:

`(5*3)+(-3*-2)\text{ = 15 +6 = 21}`

Now, we have the sum of the two as:

`-3\text{ + 21 = 18}`