24 m west. The displacement vectors of 10 m west and 14 m west align in the same direction, so their resultant vector will simply be the sum of the magnitudes, which is 24 m west.
The displacement vector would be 24 m west.
The combined displacement vector would be 8 meters in the same direction as the individual vectors, as you simply add the magnitudes of the vectors together.
8m in the same direction.
Displacement vector in the same direction = 3 m + 5 m = 8 m.
The combined displacement vector will have a magnitude of 8m. This is found by simply adding the magnitudes of the two original displacement vectors together (3m + 5m = 8m), since they are in the same direction.
Displacement vectors of 10m west and 14m west make a resultant vector that is
Oh, dude, okay, so like, a resultant vector is the overall effect of two or more vectors combined, while a component vector is just one of the vectors that make up the resultant. It's like saying the whole pizza is the resultant, and the pepperoni and cheese slices are the component vectors. So, basically, the resultant is the big picture, and the components are just the pieces that make it up.
The displacement vector would be 24 m west.
The combined displacement vector would be 8 meters in the same direction as the individual vectors, as you simply add the magnitudes of the vectors together.
8m in the same direction.
Displacement vector in the same direction = 3 m + 5 m = 8 m.
The combined displacement vector will have a magnitude of 8m. This is found by simply adding the magnitudes of the two original displacement vectors together (3m + 5m = 8m), since they are in the same direction.
19 Newtons They need to be in the same direction for the highest resultant
The related question has a nice detail of this. Each vector is resolved into component vectors. For 2-dimensions, it is an x-component and a y-component. Then the respective components are added. These added components make up the resultant vector.
The smallest resultant of two vectors is the sum of two equal vectors which make an angle of 180 degrees among each other.
The order of addition of individual vectors does not affect the final result. The reason is that "addition is commutative", meaning C=A +B = B + A. The laws of multiplication fro vectors is non-commutative and AxB = - BxA. Multiplication of vectors is non-commutative. Vectors and Reals make up our natural numbers called Quaternions . Given a quaternion A=Ar + Av where Ar is the real part of A and Av is the vector part of A and B=Br +Bv, the product is: AB=(Ar + Av)(Br + Bv)= (ArBr - Av.Bv) + (ArBv + AvBr + AvxBv) If the vectors are perpendicular Av.Bv=0, (the dot '.' denotes the cosine product). If the vectors are parallel AvxBv=0, (the cross 'x' denotes the sine product). Unfortunately quaternions multiplication is not taught in schools. Quaternions simplify algebra, trigonometry and vectors. Quaternions are also the natural numbers of the Universe.
The shortest distance from start to finish.