Table of Contents
What is the component of a vector perpendicular to another vector?
Let a vector →C, in the perpendicular direction be xˆi+yˆj. Then using dot product of →C and →B, we will have 0. The vector becomes xˆi−yˆj or −xˆi+yˆj. And so the direction will become 1√2(ˆi−ˆj) or 1√2(ˆj−ˆi).
How do you find the component of a vector on another vector?
- Suppose, A & B are two vectors, and the angle between two vectors is C,
- Then,
- The component of A in the direction of B is : AcosineC * ( unit vector of B)
- The component of B in tge direction of A is :
- B×cosineC× (unit vector of A)
- To write a general formula,
What is component of a vector in a direction perpendicular to it?
The components of a vector along its perpendicular direction is always zero.
What is the value of components of a vector perpendicular to itself?
In the second part the perpendicular vector to anather vector means the vectors which is perpendicular to the main vector i.e. dot product of those two vector is zero.
What is perpendicular component?
All vectors can be thought of as having perpendicular components. In fact, any motion that is at an angle to the horizontal or the vertical can be thought of as having two perpendicular motions occurring simultaneously. These perpendicular components of motion occur independently of each other.
What are parallel and perpendicular components of a vector?
The vectors are parallel if ⃑ 𝐴 = 𝑘 ⃑ 𝐵 , where 𝑘 is a nonzero real constant. The vectors are perpendicular if ⃑ 𝐴 ⋅ ⃑ 𝐵 = 0 . If neither of these conditions are met, then the vectors are neither parallel nor perpendicular to one another. We can form three equations by equating the components of these vectors.
Is any vector perpendicular to itself?
Geometrically, the dot product of two vectors is the magnitude of one times the projection of the second onto the first. In addition, since a vector has no projection perpendicular to itself, the dot product of any unit vector with any other is zero.