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How to calculate vector ab from vector a and b?


Asked by Mckenzie Weeks on Dec 14, 2021 FAQ



So I have a vector a = ( 2, 2) and a vector b = ( 0, 1). As my teacher told me, a b = ( − 2, − 1). Seems like its the same but the negative signs are gone. Why do I have to subtract b from a to get ab?
In addition,
In the case of the plane problem the vector AB set by the coordinates of the points A (A x ; A y) and B (B x ; B y) can be found using the following formula AB = {B x - A x ; B y - A y } Vector coordinates formula for spatial problems
Also, Suppose, AB is a vector quantity that has magnitude and direction both. To calculate the magnitude of the vector , we have to calculate the distance between the initial point A and endpoint B. In XY – plane, let A has coordinates (x 0, y 0) and B has coordinates (x 1, y 1 ). Therefore, by distance formula, the magnitude of vector , ...
Additionally,
The vector product of a and b is defined to be a× b= |a||b| sinθnˆ where |a| is the modulus, or magnitude of a, |b| is the modulus of b, θ is the angle between a and b, and nˆ is a unit vector, perpendicular to both a and b in a sense defined by the right hand screw rule.
Thereof,
Vector AB is written as The vectors below are shown in component form. Vector AB is written as [Since you cannot write in your jotter in bold] Notice that B is displaced 2 boxes to the right of A and 3 boxes up.