LaurieU9973 LaurieU9973
  • 03-11-2022
  • Mathematics
contestada

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

Respuesta :

KerenE298570 KerenE298570
  • 03-11-2022

Answer:

[tex]18[/tex]

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:

[tex]u.w\text{ = 1\lparen9\rparen + \lparen6\rparen\lparen-2\rparen = 9-12 = -3}[/tex]

For v and w, we have it that:

[tex](5\times3)+(-3\times-2)\text{ = 15 +6 = 21}[/tex]

Now, we have the sum of the two as:

[tex]-3\text{ + 21 = 18}[/tex]

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