Find the length of ->OR.

Question

(We are talking about vectors.

 

R = (4, 5, 5).

 

Then it has,

 

||->OR|| = _____.

 

I'm not sure how you find OR if you do not have what O is. Thank you. (Arrows are supposed to be on top of OR, but cannot figure out how to do that.)

Answer 1

As a further explanation, R is the vector in the x, y, z 3-dimensional space. Imagine a box, and one corner is the origin. Its value is 0,0,0. x and y are the base, and z is up. Therefore the point of vector R is 4 units along one side of the box, x and then 5 units into the base of the box, y and now up another 5 units. You have an imaginary arrow r with a start at the corner of the box and its point inside the box at the coordinates given. Since you have the formula for length as in Anita's comment above, and x₁, y₁ and z₁ are all 0, you can find the length of the vector r as sqrt(x² + y² + z²). It is the distance formula taken to one more dimension.