lovebelgium lovebelgium
  • 10-04-2021
  • Physics
contestada

Two vectors are given as A⃗ = 2i^ + 3j^ − 3k^ and B⃗ = -1i^ + 5j^ + 3k^. Find A⃗ ⋅ B⃗

Respuesta :

Muscardinus Muscardinus
  • 15-04-2021

Answer:

A·B = 4

Explanation:

Given that,

Vector A = 2i+3j-3k

Vector B = -i+5j+3k

We need to find the value of A·B.

We know that,

i·i=j·j=k·k = 1 and i·j=j·k=k·i=0

So,

[tex]A\cdot B=(2i+3j-3k)\cdot (-i+5j+3k)\\\\=-2+5(3)+(-3)(3)\\\\=-3+15-9\\\\=4[/tex]

So, the value of A·B is equal to 4.

Answer Link

Otras preguntas

What is the root of impatiently?
why did northern ireland, scotland, and Wales gain their own legislatures?
Which statement describes a way in which Russia differed from western Europe in the seventeenth and eighteenth centuries? A. Most Russians of all classes
sin(3x-16)=cos(4x-6) x=?
Frederick Taylor is known best for what concept that improves efficiency in manufacturing
Based on this text, what does Hamilton try to appeal to in readers?
What term refers to a span of ten years? A. millennium B. century C. decade
In "Tiger - Tiger!" which best describes the conflict between Mowgli and the villagers when Mowgli first arrives? A. The villagers do not accept Mowgli becaus
What was the name of the first "talkie" feature length film to have synchronized dialogue in 1927?
What multiplies to -29 and adds to 1