ChloeFoulkes said:Homework Statement
Find the equation of the line, p, that is perpendicular to r=(1,1,1)t + (3,5,2) and passes through (3,3,1)
Homework Equations
dot product =0
The Attempt at a Solution
I understand that the direction vector r and p, when dot producted must =0
but I've forgotten what to do from here
A perpendicular vector equation is an equation that represents two vectors that are perpendicular to each other. This means that the two vectors are at right angles to each other and have a dot product of 0.
A perpendicular vector equation is typically written in the form of v ⋅ w = 0, where v and w are two vectors. This equation states that the dot product of the two vectors is equal to 0, indicating that they are perpendicular.
The dot product in a perpendicular vector equation is significant because it is used to determine whether two vectors are perpendicular. If the dot product is equal to 0, then the vectors are perpendicular. If the dot product is not equal to 0, then the vectors are not perpendicular.
In physics and engineering, perpendicular vector equations are used to represent forces or velocities that act at right angles to each other. This is important in understanding the dynamics of objects and the forces that act on them.
Yes, a perpendicular vector equation can have more than two vectors. In this case, the dot product of all the vectors must be equal to 0 in order for them to be considered perpendicular to each other.